Migdal et al, Equation (64)

Time bar (total: 4.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.3s (29.4%)

Memory
24.8MiB live, 1 734.3MiB allocated; 358ms collecting garbage
Samples
976.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 695.0ms
ival-mult!: 319.0ms (45.9% of total)
ival-cos: 253.0ms (36.4% of total)
ival-div!: 101.0ms (14.5% of total)
ival-add!: 20.0ms (2.9% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain209.0ms (4.8%)

Memory
20.5MiB live, 173.4MiB allocated; 57ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
00-0-a1
00-0-(*.f64 a1 a1)
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-th
00-0-#s(literal 2 binary64)
00-0-(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
00-0-(+.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)))
00-0-(*.f64 a2 a2)
00-0-(cos.f64 th)
00-0-a2
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))n*o10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 12.0ms (49.9% of total)
ival-mult!: 9.0ms (37.4% of total)
ival-div!: 2.0ms (8.3% of total)
ival-add!: 1.0ms (4.2% of total)
adjust: 0.0ms (0% of total)

preprocess64.0ms (1.5%)

Memory
-30.3MiB live, 15.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041133
1163133
2595133
31542133
43030133
54451133
67243133
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(+.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 38 to 24 computations (36.8% saved)

series20.0ms (0.5%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Counts
12 → 34
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 a1)
a1
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
Calls

9 calls:

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

rewrite209.0ms (4.8%)

Memory
17.7MiB live, 193.9MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval45.0ms (1%)

Memory
-15.0MiB live, 41.9MiB allocated; 12ms collecting garbage
Compiler

Compiled 4 786 to 594 computations (87.6% saved)

prune30.0ms (0.7%)

Memory
-11.2MiB live, 35.1MiB allocated; 2ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New17116187
Fresh000
Picked101
Done000
Total17216188
Accuracy
100.0%
Counts
188 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
99.3%
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
99.3%
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
99.3%
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
99.6%
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
99.3%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
99.3%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a2 a2)))
66.8%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
98.4%
(+.f64 (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
28.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
28.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.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)))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
58.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
99.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
19.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 874 to 546 computations (37.5% saved)

series53.0ms (1.2%)

Memory
14.0MiB live, 59.4MiB allocated; 5ms collecting garbage
Counts
27 → 97
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
th
a2
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 a2)
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.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))) a1)
Outputs
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (* (cos th) a1) #s(hole binary64 a1))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (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) (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)) (* 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)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #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) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #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) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #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) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
a2
@inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) a1))
6.0ms
th
@-inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) a1))
3.0ms
a1
@inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) a1))
3.0ms
th
@inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) a1))
3.0ms
a1
@-inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) a1))

rewrite197.0ms (4.6%)

Memory
-1.9MiB live, 293.7MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03543115
03962675
121452604
090112517
Stop Event
iter-limit
node-limit
iter-limit
Counts
124 → 384
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
th
a2
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 a2)
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.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))) a1)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (* (cos th) a1) #s(hole binary64 a1))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (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) (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)) (* 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)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #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) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #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) (* (* a2 a2) (/ (cos th) (sqrt 2)))) #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) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (fma.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 th) a1)) a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)))
(/.f64 (fma.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1)))))
(/.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)))))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (*.f64 (cos.f64 th) a1) a1 (*.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 a1 (*.f64 (cos.f64 th) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 a2 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))))
(-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)))
(-.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (neg.f64 (*.f64 (cos.f64 th) a1)) a1))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(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)))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
a2
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) a1)
(*.f64 a1 (cos.f64 th))
a1
(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) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (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 (neg.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #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 (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 (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 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #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))))
(/.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 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
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(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 th) a1)) a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1)
(*.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)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (* (cos th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a1) a1))
#s(approx (* (cos th) a1) (*.f64 (cos.f64 th) a1))
#s(approx a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a1) a1))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (fma.f64 (/.f64 (*.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (* (cos th) a2) (*.f64 (cos.f64 th) a2))
#s(approx a2 a2)
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) a2) (/.f64 (cos.f64 th) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) a2) (/.f64 (cos.f64 th) a2) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) a2) (/.f64 (cos.f64 th) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) a2) (/.f64 (cos.f64 th) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #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 (*.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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (cos th) a2) a2)
#s(approx (* (cos th) a2) (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/2 binary64) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a2)) (*.f64 th th) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a2)) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) a2)) (*.f64 th th) a2))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (* (cos th) a1) a1) (*.f64 a1 a1))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (cos th) a1) a1)
#s(approx (* (cos th) a1) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a1)) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #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 (*.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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.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) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (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) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.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 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 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) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 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) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) (*.f64 th th) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.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) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (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) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.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 (*.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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #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 (*.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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (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) (sqrt 2)) a1) (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) (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 (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

eval117.0ms (2.7%)

Memory
-15.2MiB live, 123.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 15 285 to 1 455 computations (90.5% saved)

prune27.0ms (0.6%)

Memory
3.4MiB live, 54.9MiB allocated; 4ms collecting garbage
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New50420524
Fresh7411
Picked325
Done000
Total51426540
Accuracy
100.0%
Counts
540 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
99.3%
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
99.3%
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
99.5%
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
99.3%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
28.4%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
28.0%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
28.2%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
99.3%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
19.1%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
28.2%
#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)))))
66.8%
#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)))
66.7%
#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))))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
66.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
17.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
99.3%
#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))
99.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))
99.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
60.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
63.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
61.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))))
19.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
42.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
Compiler

Compiled 1 686 to 993 computations (41.1% saved)

series179.0ms (4.1%)

Memory
1.3MiB live, 187.4MiB allocated; 21ms collecting garbage
Counts
45 → 185
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
th
a2
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) a1)
a1
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
#s(literal 1 binary64)
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))
#s(literal 4 binary64)
#s(literal -1/4 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 a1 a1)
(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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (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)))
(*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(/.f64 a2 a1)
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th)))
#s(literal -1/2 binary64)
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a2 a2)
(*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))
(fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))
#s(literal 1/24 binary64)
(*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))
(*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(literal -1/720 binary64)
(*.f64 th th)
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
Outputs
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (* (pow a2 2) (cos th)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (* (pow a1 2) (cos th))) (* (pow 1/4 1/4) (* (pow a2 2) (cos th))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 a1) #s(hole binary64 (/ a2 a1)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2)))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (pow a2 2)) (+ (* (pow a1 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 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 (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (+ (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow a2 2) (pow th 2))) (+ (* 1/24 (pow a2 2)) (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2))))))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* -1/720 (* (pow a2 2) (pow th 2)))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* -1/720 (* (pow a2 2) (pow th 2))))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1/720 (pow a2 2))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#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) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (* (pow a1 2) (cos th)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow a1 2) (+ (* (pow 1/4 1/4) (cos th)) (* (pow 1/4 1/4) (/ (* (pow a2 2) (cos th)) (pow a1 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (+ (/ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a1 2)) (/ (pow a2 2) (pow a1 2))))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow a1 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow a1 2) (- (+ (* -1/2 (/ (pow a2 2) (pow a1 2))) (+ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (/ (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))) (pow a1 2)))) 1/2))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (/ (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))) (pow a1 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow a1 2) (+ 1/24 (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (pow a1 2))) (+ (* -1/720 (pow th 2)) (* 1/24 (/ (pow a2 2) (pow a1 2)))))))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* -1/720 (* (pow a1 2) (pow th 2)))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (pow a1 2))) (* -1/720 (pow th 2))))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1/720 (pow a1 2))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (- (* -1/720 (/ (pow a2 2) (pow a1 2))) 1/720))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (+ (* (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 (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (pow a1 2)) (+ (* (pow a2 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2))))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (+ (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow a1 2) (pow th 2))) (+ (* 1/24 (pow a1 2)) (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2))))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (* a2 a2) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow a2 2) (+ (* (pow 1/4 1/4) (cos th)) (* (pow 1/4 1/4) (/ (* (pow a1 2) (cos th)) (pow a2 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 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) (/ a2 a1)) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (+ (/ (* (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 a2 2)) (/ (pow a1 2) (pow a2 2))))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow a2 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow a2 2) (- (+ (* -1/2 (/ (pow a1 2) (pow a2 2))) (+ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (/ (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))) (pow a2 2)))) 1/2))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (/ (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))) (pow a2 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow a2 2) (+ 1/24 (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (pow a2 2))) (+ (* -1/720 (pow th 2)) (* 1/24 (/ (pow a1 2) (pow a2 2)))))))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (pow a2 2))) (* -1/720 (pow th 2))))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (- (* -1/720 (/ (pow a1 2) (pow a2 2))) 1/720))))
#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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))) (* (pow 1/4 1/4) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (pow 1/4 1/4) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (* (pow th 2) (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2))))) (* (pow 1/4 1/4) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2)))))))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (* (cos th) a1) #s(hole binary64 a1))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* -1/2 (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2)))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* 1/24 (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (/ (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) (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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (sqrt 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1/720 (* (pow th 6) (+ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))) (+ (/ (pow a1 2) (pow th 6)) (/ (pow a2 2) (pow th 6)))))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* -1/720 (* (pow th 4) (+ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow th 4) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow th 4) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* -1/720 (* (pow th 4) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow th 4) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow th 2) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
Calls

9 calls:

TimeVariablePointExpression
43.0ms
a1
@inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (/ 1 (pow 4 -1/4)) 1 (pow 4 -1/4) 4 -1/4 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) -1/2 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) 1/24 (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (* -1/720 (+ (* a1 a1) (* a2 a2))) -1/720 (* th th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (* a2 a2) (sqrt 2)))
34.0ms
th
@-inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (/ 1 (pow 4 -1/4)) 1 (pow 4 -1/4) 4 -1/4 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) -1/2 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) 1/24 (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (* -1/720 (+ (* a1 a1) (* a2 a2))) -1/720 (* th th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (* a2 a2) (sqrt 2)))
32.0ms
th
@inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (/ 1 (pow 4 -1/4)) 1 (pow 4 -1/4) 4 -1/4 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) -1/2 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) 1/24 (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (* -1/720 (+ (* a1 a1) (* a2 a2))) -1/720 (* th th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (* a2 a2) (sqrt 2)))
20.0ms
a2
@-inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (/ 1 (pow 4 -1/4)) 1 (pow 4 -1/4) 4 -1/4 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) -1/2 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) 1/24 (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (* -1/720 (+ (* a1 a1) (* a2 a2))) -1/720 (* th th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (* a2 a2) (sqrt 2)))
16.0ms
a1
@0
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (/ 1 (pow 4 -1/4)) 1 (pow 4 -1/4) 4 -1/4 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) -1/2 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) 1/24 (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (* -1/720 (+ (* a1 a1) (* a2 a2))) -1/720 (* th th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (* a2 a2) (sqrt 2)))

rewrite211.0ms (4.9%)

Memory
32.8MiB live, 310.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06187611
06876831
137146800
081896628
Stop Event
iter-limit
node-limit
iter-limit
Counts
230 → 544
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
th
a2
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) a1)
a1
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
#s(literal 1 binary64)
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))
#s(literal 4 binary64)
#s(literal -1/4 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 a1 a1)
(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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (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)))
(*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(/.f64 a2 a1)
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th)))
#s(literal -1/2 binary64)
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a2 a2)
(*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))
(fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))
#s(literal 1/24 binary64)
(*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))
(*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(literal -1/720 binary64)
(*.f64 th th)
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (* (pow a2 2) (cos th)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (* (pow a1 2) (cos th))) (* (pow 1/4 1/4) (* (pow a2 2) (cos th))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 a1) #s(hole binary64 (/ a2 a1)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2)))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (pow a2 2)) (+ (* (pow a1 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 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 (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (+ (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow a2 2) (pow th 2))) (+ (* 1/24 (pow a2 2)) (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2))))))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* -1/720 (* (pow a2 2) (pow th 2)))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* -1/720 (* (pow a2 2) (pow th 2))))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1/720 (pow a2 2))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#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) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (* (pow a1 2) (cos th)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow a1 2) (+ (* (pow 1/4 1/4) (cos th)) (* (pow 1/4 1/4) (/ (* (pow a2 2) (cos th)) (pow a1 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (+ (/ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a1 2)) (/ (pow a2 2) (pow a1 2))))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow a1 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow a1 2) (- (+ (* -1/2 (/ (pow a2 2) (pow a1 2))) (+ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (/ (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))) (pow a1 2)))) 1/2))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (/ (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))) (pow a1 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow a1 2) (+ 1/24 (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (pow a1 2))) (+ (* -1/720 (pow th 2)) (* 1/24 (/ (pow a2 2) (pow a1 2)))))))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* -1/720 (* (pow a1 2) (pow th 2)))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (pow a1 2))) (* -1/720 (pow th 2))))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1/720 (pow a1 2))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (- (* -1/720 (/ (pow a2 2) (pow a1 2))) 1/720))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (+ (* (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 (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (pow a1 2)) (+ (* (pow a2 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2))))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (+ (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow a1 2) (pow th 2))) (+ (* 1/24 (pow a1 2)) (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2))))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (* a2 a2) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow a2 2) (+ (* (pow 1/4 1/4) (cos th)) (* (pow 1/4 1/4) (/ (* (pow a1 2) (cos th)) (pow a2 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 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) (/ a2 a1)) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (+ (/ (* (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 a2 2)) (/ (pow a1 2) (pow a2 2))))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow a2 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow a2 2) (- (+ (* -1/2 (/ (pow a1 2) (pow a2 2))) (+ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (/ (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))) (pow a2 2)))) 1/2))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (/ (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))) (pow a2 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow a2 2) (+ 1/24 (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (pow a2 2))) (+ (* -1/720 (pow th 2)) (* 1/24 (/ (pow a1 2) (pow a2 2)))))))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (pow a2 2))) (* -1/720 (pow th 2))))))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (- (* -1/720 (/ (pow a1 2) (pow a2 2))) 1/720))))
#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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))) (* (pow 1/4 1/4) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (pow 1/4 1/4) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (* (pow th 2) (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2))))) (* (pow 1/4 1/4) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2)))))))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (* (cos th) a1) #s(hole binary64 a1))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* -1/2 (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2)))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* 1/24 (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) #s(hole binary64 (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (/ (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) (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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (sqrt 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1/720 (* (pow th 6) (+ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))) (+ (/ (pow a1 2) (pow th 6)) (/ (pow a2 2) (pow th 6)))))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* -1/720 (* (pow th 4) (+ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow th 4) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) #s(hole binary64 (* (pow th 4) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* -1/720 (* (pow th 4) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) #s(hole binary64 (* (pow th 4) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) #s(hole binary64 (* (pow th 2) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
Outputs
(*.f64 (/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)))))
(/.f64 (fma.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1)))))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (*.f64 (cos.f64 th) a1) a1 (*.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 a1 (*.f64 (cos.f64 th) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 a2 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)))
(-.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (neg.f64 (*.f64 (cos.f64 th) a1)) a1))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(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)))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
a2
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) a1)
(*.f64 a1 (cos.f64 th))
a1
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 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))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal -1/4 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))))
#s(literal 4 binary64)
#s(literal -1/4 binary64)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(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))))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 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))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
#s(literal 2 binary64)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a1 a1) (*.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 a1 a1) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a1 a1)) (*.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 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))) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64))
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(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
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(pow.f64 (exp.f64 (log.f64 th)) #s(literal 2 binary64))
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(pow.f64 (neg.f64 th) #s(literal 2 binary64))
(pow.f64 (*.f64 th th) #s(literal 1 binary64))
(pow.f64 th #s(literal 2 binary64))
(fabs.f64 (*.f64 th th))
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 a1 (/.f64 (cos.f64 th) (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 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a2 (/.f64 a2 (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)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (* (cos th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a1) a1))
#s(approx (* (cos th) a1) (*.f64 (cos.f64 th) a1))
#s(approx a1 a1)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 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) (/ a2 a1)) 1) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ a2 a1) (/.f64 a2 a1))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (fma.f64 (*.f64 a2 a2) #s(literal -1/2 binary64) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 a1 a1) (*.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th)))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th)))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64)))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) #s(literal -1/720 binary64)))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th))) (*.f64 a1 a1)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a1) a1))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) (/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2)) (*.f64 a1 a1))) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (*.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th)) (*.f64 a1 a1)))) #s(literal 1/2 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th)) (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (*.f64 (+.f64 (fma.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.f64 a1 a1)) (*.f64 th th)) (*.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1/24 binary64))) #s(literal 1/24 binary64)) (*.f64 a1 a1)))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (*.f64 (*.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 a1 a1)))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) #s(literal -1/720 binary64)))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/720 binary64)) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (cos th) a2) (*.f64 (cos.f64 th) a2))
#s(approx a2 a2)
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (fma.f64 (*.f64 a1 a1) #s(literal -1/2 binary64) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 a2 a2) (*.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th)))))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th)))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* a2 a2) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 a2 a2)) (cos.f64 th))) (*.f64 a2 a2)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 a2 a2)) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (*.f64 (fma.f64 (pow.f64 a2 #s(literal -2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (fma.f64 (pow.f64 a1 #s(literal -2 binary64)) (*.f64 a2 a2) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) (/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)) (*.f64 a2 a2))) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th)) (*.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (*.f64 (+.f64 (fma.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 th th)) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64)) (*.f64 a2 a2))) #s(literal 1/24 binary64)) (*.f64 a2 a2)))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (*.f64 (*.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 th th))) (*.f64 a2 a2)))
#s(approx (* -1/720 (+ (* a1 a1) (* a2 a2))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/720 binary64)) (*.f64 a2 a2)) #s(literal 1/720 binary64)) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64)) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64)))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (fma.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64)))) (*.f64 th th))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.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) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64)) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (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))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (cos th) a2) a2)
#s(approx (* (cos th) a2) (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/2 binary64) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a2)) (*.f64 th th) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a2)) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) a2)) (*.f64 th th) a2))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (* (cos th) a1) a1) (*.f64 a1 a1))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (cos th) a1) a1)
#s(approx (* (cos th) a1) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a1)) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (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))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (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))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (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))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64)))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64))))
#s(approx (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th)) (*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th))
#s(approx (* th th) (*.f64 th th))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 th th) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 th th) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 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) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#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)) (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.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)) (* a2 a2)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (cos th) (cos.f64 th))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 th #s(literal 6 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (pow.f64 th #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (pow.f64 th #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 th #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (pow.f64 th #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 th #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 th #s(literal 6 binary64))))))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 th #s(literal 4 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (*.f64 (pow.f64 th #s(literal 4 binary64)) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)))))
#s(approx (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 th #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 th #s(literal 4 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th)) (*.f64 (pow.f64 th #s(literal 4 binary64)) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)))))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th))
#s(approx (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64))) (*.f64 th th)))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

eval134.0ms (3.1%)

Memory
-3.5MiB live, 241.2MiB allocated; 31ms collecting garbage
Compiler

Compiled 41 515 to 3 657 computations (91.2% saved)

prune41.0ms (0.9%)

Memory
2.9MiB live, 100.1MiB allocated; 8ms collecting garbage
Pruning

33 alts after pruning (28 fresh and 5 done)

PrunedKeptTotal
New76516781
Fresh71219
Picked235
Done022
Total77433807
Accuracy
100.0%
Counts
807 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
56.1%
(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 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
(fma.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
99.3%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
28.4%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th)) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
28.2%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
99.3%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
99.3%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
19.1%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
61.0%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
18.9%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
28.2%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
99.4%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
99.3%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
19.1%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
19.1%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
66.7%
#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))))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
52.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
66.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
17.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
99.3%
#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))
99.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
63.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
61.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))))
42.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
26.7%
#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 a1 a1 (*.f64 a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
17.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
66.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
Compiler

Compiled 2 337 to 1 370 computations (41.4% saved)

series159.0ms (3.7%)

Memory
-36.2MiB live, 247.0MiB allocated; 18ms collecting garbage
Counts
43 → 159
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(cos.f64 th)
th
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
(*.f64 (*.f64 a2 a2) (/.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))))
(/.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)))
#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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 th th))
#s(literal 1/24 binary64)
(*.f64 th th)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th))
(fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Outputs
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (* (pow a2 2) (cos th)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (* (pow a1 2) (cos th))) (* (pow 1/4 1/4) (* (pow a2 2) (cos th))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow 1/16 1/8) (* (pow a2 2) (cos th)))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* (pow 1/16 1/8) (* (pow a1 2) (cos th))) (* (pow 1/16 1/8) (* (pow a2 2) (cos th))))))
#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) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* 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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2)))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (* (pow a1 2) (cos th)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow a1 2) (+ (* (pow 1/4 1/4) (cos th)) (* (pow 1/4 1/4) (/ (* (pow a2 2) (cos th)) (pow a1 2)))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow 1/16 1/8) (* (pow a1 2) (cos th)))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a1 2) (+ (* (pow 1/16 1/8) (cos th)) (* (pow 1/16 1/8) (/ (* (pow a2 2) (cos th)) (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 (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* 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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (+ (/ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a1 2)) (/ (pow a2 2) (pow a1 2))))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* a2 (/ a2 (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ a2 (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (+ (* (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) (sqrt 2)) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow a2 2) (+ (* (pow 1/4 1/4) (cos th)) (* (pow 1/4 1/4) (/ (* (pow a1 2) (cos th)) (pow a2 2)))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a2 2) (+ (* (pow 1/16 1/8) (cos th)) (* (pow 1/16 1/8) (/ (* (pow a1 2) (cos th)) (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 (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* 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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (+ (/ (* (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 a2 2)) (/ (pow a1 2) (pow a2 2))))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))) (* (pow 1/4 1/4) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (pow 1/4 1/4) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (* (pow th 2) (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2))))) (* (pow 1/4 1/4) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2)))))))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* -1/2 (* (pow 1/16 1/8) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))) (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow 1/16 1/8) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow 1/16 1/8) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (pow a1 2) (pow a2 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 (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (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 (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(hole binary64 (- (* 1/24 (pow th 2)) 1/2)))
#s(approx (* 1/24 (* th th)) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* 1/24 (pow th 2)) 1/2)))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) #s(hole binary64 (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))))
#s(approx (+ (* (* th th) -1/720) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* th th) -1/720) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow th 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (sqrt 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow 1/16 1/8) (* (cos th) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (+ (pow a1 2) (pow a2 2)))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* 1/24 (pow th 4))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 4) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 4) (- (+ 1/24 (/ 1 (pow th 4))) (* 1/2 (/ 1 (pow th 2)))))))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(hole binary64 (* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (sqrt 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1/720 (* (pow th 6) (+ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))) (+ (/ (pow a1 2) (pow th 6)) (/ (pow a2 2) (pow th 6)))))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* -1/720 (* (pow a1 2) (pow th 6)))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* (pow th 6) (+ (* -1/720 (pow a1 2)) (* 1/24 (/ (pow a1 2) (pow th 2)))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (pow th 4))) (+ (* -1/720 (pow a1 2)) (* 1/24 (/ (pow a1 2) (pow th 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (pow th 4))) (+ (* -1/720 (pow a1 2)) (+ (* 1/24 (/ (pow a1 2) (pow th 2))) (/ (pow a1 2) (pow th 6))))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* -1/720 (pow th 6))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* (* th th) -1/720) 1/24) #s(hole binary64 (* -1/720 (pow th 2))))
#s(approx (+ (* (* th th) -1/720) 1/24) #s(hole binary64 (* (pow th 2) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
Calls

9 calls:

TimeVariablePointExpression
26.0ms
th
@inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (pow 1/16 1/8) 1/16 1/8 (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) 1/24 (* th th) 1/2 1 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* (+ (* (* th th) -1/720) 1/24) (* th th)) (+ (* (* th th) -1/720) 1/24) -1/720 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2) (/ (cos th) (sqrt 2)))
18.0ms
th
@-inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (pow 1/16 1/8) 1/16 1/8 (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) 1/24 (* th th) 1/2 1 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* (+ (* (* th th) -1/720) 1/24) (* th th)) (+ (* (* th th) -1/720) 1/24) -1/720 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2) (/ (cos th) (sqrt 2)))
11.0ms
a1
@0
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (pow 1/16 1/8) 1/16 1/8 (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) 1/24 (* th th) 1/2 1 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* (+ (* (* th th) -1/720) 1/24) (* th th)) (+ (* (* th th) -1/720) 1/24) -1/720 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2) (/ (cos th) (sqrt 2)))
11.0ms
a2
@inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (pow 1/16 1/8) 1/16 1/8 (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) 1/24 (* th th) 1/2 1 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* (+ (* (* th th) -1/720) 1/24) (* th th)) (+ (* (* th th) -1/720) 1/24) -1/720 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2) (/ (cos th) (sqrt 2)))
9.0ms
a1
@-inf
((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (pow 1/16 1/8) 1/16 1/8 (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) 1/24 (* th th) 1/2 1 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* (+ (* (* th th) -1/720) 1/24) (* th th)) (+ (* (* th th) -1/720) 1/24) -1/720 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2) (/ (cos th) (sqrt 2)))

rewrite218.0ms (5%)

Memory
10.0MiB live, 308.5MiB allocated; 98ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05696287
06215684
133735664
085085489
Stop Event
iter-limit
node-limit
iter-limit
Counts
202 → 404
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(cos.f64 th)
th
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
(*.f64 (*.f64 a2 a2) (/.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))))
(/.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)))
#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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 th th))
#s(literal 1/24 binary64)
(*.f64 th th)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th))
(fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (* (pow a2 2) (cos th)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (* (pow a1 2) (cos th))) (* (pow 1/4 1/4) (* (pow a2 2) (cos th))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow 1/16 1/8) (* (pow a2 2) (cos th)))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* (pow 1/16 1/8) (* (pow a1 2) (cos th))) (* (pow 1/16 1/8) (* (pow a2 2) (cos th))))))
#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) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* 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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2)))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (* (pow a1 2) (cos th)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow a1 2) (+ (* (pow 1/4 1/4) (cos th)) (* (pow 1/4 1/4) (/ (* (pow a2 2) (cos th)) (pow a1 2)))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow 1/16 1/8) (* (pow a1 2) (cos th)))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a1 2) (+ (* (pow 1/16 1/8) (cos th)) (* (pow 1/16 1/8) (/ (* (pow a2 2) (cos th)) (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 (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* 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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (+ (/ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a1 2)) (/ (pow a2 2) (pow a1 2))))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* a2 (/ a2 (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ a2 (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (+ (* (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) (sqrt 2)) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow a2 2) (+ (* (pow 1/4 1/4) (cos th)) (* (pow 1/4 1/4) (/ (* (pow a1 2) (cos th)) (pow a2 2)))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a2 2) (+ (* (pow 1/16 1/8) (cos th)) (* (pow 1/16 1/8) (/ (* (pow a1 2) (cos th)) (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 (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* 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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (+ (/ (* (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 a2 2)) (/ (pow a1 2) (pow a2 2))))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))) (* (pow 1/4 1/4) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (+ (* (pow 1/4 1/4) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (pow 1/4 1/4) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (* (pow th 2) (+ (* (pow 1/4 1/4) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2))))) (* (pow 1/4 1/4) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2)))))))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* -1/2 (* (pow 1/16 1/8) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))) (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow 1/16 1/8) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow 1/16 1/8) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (pow 1/16 1/8) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (pow a1 2) (pow a2 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 (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (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 (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(hole binary64 (- (* 1/24 (pow th 2)) 1/2)))
#s(approx (* 1/24 (* th th)) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #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) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th 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 (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* 1/24 (pow th 2)) 1/2)))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) #s(hole binary64 (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))))
#s(approx (+ (* (* th th) -1/720) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* th th) -1/720) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow th 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (sqrt 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) #s(hole binary64 (* (pow 1/4 1/4) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow 1/16 1/8) (* (cos th) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (+ (pow a1 2) (pow a2 2)))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* 1/24 (pow th 4))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 4) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 4) (- (+ 1/24 (/ 1 (pow th 4))) (* 1/2 (/ 1 (pow th 2)))))))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(hole binary64 (* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (sqrt 2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1/720 (* (pow th 6) (+ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))) (+ (/ (pow a1 2) (pow th 6)) (/ (pow a2 2) (pow th 6)))))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* -1/720 (* (pow a1 2) (pow th 6)))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* (pow th 6) (+ (* -1/720 (pow a1 2)) (* 1/24 (/ (pow a1 2) (pow th 2)))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (pow th 4))) (+ (* -1/720 (pow a1 2)) (* 1/24 (/ (pow a1 2) (pow th 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) #s(hole binary64 (* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (pow th 4))) (+ (* -1/720 (pow a1 2)) (+ (* 1/24 (/ (pow a1 2) (pow th 2))) (/ (pow a1 2) (pow th 6))))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* -1/720 (pow th 6))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* (* th th) -1/720) 1/24) #s(hole binary64 (* -1/720 (pow th 2))))
#s(approx (+ (* (* th th) -1/720) 1/24) #s(hole binary64 (* (pow th 2) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))))
(*.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)))))))
(fma.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 a2 a2)) (cos.f64 th) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
(fma.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 a1 a1)) (cos.f64 th) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
(fma.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
(fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
(fma.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
(fma.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (*.f64 (neg.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (*.f64 (*.f64 a2 (cos.f64 th)) a2)))
(+.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64))) (fabs.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/16 binary64))) #s(literal 1/8 binary64))
(pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 (*.f64 a1 (cos.f64 th)) a1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 (*.f64 a1 (cos.f64 th)) a1)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2)))))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 a2 (cos.f64 th)) a2))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
(fma.f64 (*.f64 a1 (cos.f64 th)) a1 (*.f64 (*.f64 a2 (cos.f64 th)) a2))
(fma.f64 a1 (*.f64 a1 (cos.f64 th)) (*.f64 (*.f64 a2 (cos.f64 th)) a2))
(fma.f64 (*.f64 a2 (cos.f64 th)) a2 (*.f64 (*.f64 a1 (cos.f64 th)) a1))
(fma.f64 a2 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
(-.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)))
(-.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 (neg.f64 (*.f64 a1 (cos.f64 th))) a1))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2))
(+.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
(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)))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.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 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 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 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (*.f64 a1 a1) (*.f64 (neg.f64 a2) a2))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
a1
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))
a2
#s(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 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (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)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 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))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th)))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 th #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 th #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(fma.f64 (*.f64 th th) (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 th th)) (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) th) th))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/24 binary64) th) th)
(*.f64 (*.f64 th th) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 th th))
#s(literal 1/24 binary64)
(*.f64 (neg.f64 (fabs.f64 th)) (neg.f64 (fabs.f64 th)))
(*.f64 (fabs.f64 (fabs.f64 th)) (fabs.f64 (fabs.f64 th)))
(*.f64 (exp.f64 (log.f64 th)) (exp.f64 (log.f64 th)))
(*.f64 (neg.f64 (neg.f64 th)) (neg.f64 (neg.f64 th)))
(*.f64 (fabs.f64 th) (fabs.f64 th))
(*.f64 (neg.f64 th) (neg.f64 th))
(*.f64 th th)
(pow.f64 (exp.f64 (log.f64 th)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 th) #s(literal 2 binary64))
(pow.f64 (neg.f64 th) #s(literal 2 binary64))
(pow.f64 (*.f64 th th) #s(literal 1 binary64))
(pow.f64 th #s(literal 2 binary64))
(fabs.f64 (*.f64 th th))
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) a1) a1)
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
(fma.f64 (*.f64 a1 a1) #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th))))
(fma.f64 #s(literal 1 binary64) (*.f64 a1 a1) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) (*.f64 a1 a1)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 a1 a1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 th #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 th #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(fma.f64 (*.f64 th th) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 th th)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 th #s(literal 6 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th)
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th))
(*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) th) th (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 th th)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) th) th (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))))
(fma.f64 (*.f64 th th) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 th th)))
(fma.f64 (*.f64 th th) #s(literal 1/24 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 th th)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))))
(+.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 th th)))
(+.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 2 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1/576 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))))
(/.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/373248000 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))))))
(fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))
(fma.f64 th (*.f64 th #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 th th)))
(+.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)))
#s(literal -1/720 binary64)
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (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 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (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 (*.f64 a2 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) a2))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (*.f64 a2 (cos.f64 th)) a2))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th))) (*.f64 a1 a1)))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (*.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th))) (*.f64 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (cos.f64 th)) 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 (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (cos.f64 th)) 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) (/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2)) (*.f64 a1 a1))) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx a2 a2)
#s(approx (* a2 (/ a2 (sqrt 2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (/ a2 (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 a2 a2)) (cos.f64 th))) (*.f64 a2 a2)))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (*.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 a2 a2)) (cos.f64 th))) (*.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 (+ (* a1 a1) (* a2 a2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) (/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)) (*.f64 a2 a2))) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (fma.f64 (*.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (fma.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64)) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64)))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))) (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 th th))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.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 (*.f64 th th) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (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) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) 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))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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 (* (* (/ (cos th) (sqrt 2)) a2) a2) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (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 (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* th th)) 1/2) (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* th th)) (*.f64 (*.f64 th th) #s(literal 1/24 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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 (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.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 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64)) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th (*.f64 (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 (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (*.f64 a1 a1))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 a1 a1)))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) (*.f64 (*.f64 th th) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th))
#s(approx (+ (* (* th th) -1/720) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* (* th th) -1/720) 1/24) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (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 (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (* (/ (cos th) (sqrt 2)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (/.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)) a2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 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 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))))
#s(approx (* (pow 1/16 1/8) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (*.f64 (fma.f64 a1 a1 (*.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 (cos th) (cos.f64 th))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (*.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/24 (* th th)) 1/2) (* th th)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 th #s(literal -4 binary64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (- (* 1/24 (* th th)) 1/2) (*.f64 (*.f64 th th) #s(literal 1/24 binary64)))
#s(approx (- (* 1/24 (* th th)) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal -2 binary64)) #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 (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/720 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (pow.f64 th #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (pow.f64 th #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 th #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64))))))
#s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (pow.f64 th #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 th #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th)) #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 th #s(literal 6 binary64))))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/720 binary64)) (pow.f64 th #s(literal 6 binary64))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (*.f64 (pow.f64 th #s(literal 6 binary64)) (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) #s(literal -1/720 binary64)))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (*.f64 (pow.f64 th #s(literal 6 binary64)) (fma.f64 (/.f64 (*.f64 a1 a1) (pow.f64 th #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 th th)) #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) #s(literal -1/720 binary64))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (* a1 a1)) (*.f64 (pow.f64 th #s(literal 6 binary64)) (fma.f64 (/.f64 (*.f64 a1 a1) (pow.f64 th #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 a1 a1) #s(literal -1/720 binary64) (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 th th)) #s(literal 1/24 binary64) (/.f64 (*.f64 a1 a1) (pow.f64 th #s(literal 6 binary64))))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (pow.f64 th #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (pow.f64 th #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (pow.f64 th #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 th #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 4 binary64))))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (*.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 th #s(literal 4 binary64))))
#s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 4 binary64)))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) (*.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* (* th th) -1/720) 1/24) (* th th)) (*.f64 (-.f64 (*.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 th #s(literal 4 binary64))))
#s(approx (+ (* (* th th) -1/720) 1/24) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)))
#s(approx (+ (* (* th th) -1/720) 1/24) (*.f64 (-.f64 (*.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 th th)))

eval75.0ms (1.7%)

Memory
0.2MiB live, 188.6MiB allocated; 22ms collecting garbage
Compiler

Compiled 33 626 to 2 611 computations (92.2% saved)

prune56.0ms (1.3%)

Memory
7.2MiB live, 154.3MiB allocated; 5ms collecting garbage
Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New55215567
Fresh71623
Picked325
Done055
Total56238600
Accuracy
100.0%
Counts
600 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
(fma.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
99.3%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
99.3%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
19.1%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
18.9%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
18.9%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
20.8%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
18.9%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
19.0%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 #s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
28.2%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
99.1%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)))))
19.1%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))))
19.1%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (cos.f64 th)) a1))))
99.4%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
19.1%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
66.7%
#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))))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
63.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
52.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
66.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
17.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
99.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
99.3%
#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))
60.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
66.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
99.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
61.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))))
60.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
42.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
26.7%
#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 a1 a1 (*.f64 a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
17.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
66.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
66.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
Compiler

Compiled 4 304 to 1 273 computations (70.4% saved)

regimes134.0ms (3.1%)

Memory
12.2MiB live, 294.8MiB allocated; 12ms collecting garbage
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #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 (+ (* (/ a2 a1) (/ a2 a1)) 1) #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 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(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) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 #s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (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)))
(fma.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #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 a1 a1 (*.f64 a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2)))) (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))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th)) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (cos.f64 th)) a1))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 (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 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a2 a2)))
Outputs
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
Calls

8 calls:

18.0ms
th
17.0ms
a2
17.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
17.0ms
a1
16.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.6%1(*.f64 a2 a2)
99.6%1(*.f64 a1 a1)
99.6%1(cos.f64 th)
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%1a1
99.6%1a2
99.6%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes139.0ms (3.2%)

Memory
-3.8MiB live, 282.4MiB allocated; 37ms collecting garbage
Counts
57 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #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 (+ (* (/ a2 a1) (/ a2 a1)) 1) #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 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(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) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 #s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (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)))
(fma.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #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 a1 a1 (*.f64 a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2)))) (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))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th)) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (cos.f64 th)) a1))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (*.f64 (pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (*.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2))
Calls

8 calls:

28.0ms
(*.f64 a2 a2)
20.0ms
(cos.f64 th)
18.0ms
a2
15.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms
th
Results
AccuracySegmentsBranch
99.4%1(*.f64 a2 a2)
99.4%1(*.f64 a1 a1)
99.4%1(cos.f64 th)
99.4%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.4%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)))
99.4%1a1
99.4%1a2
99.4%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes81.0ms (1.9%)

Memory
14.5MiB live, 156.7MiB allocated; 4ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #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 (+ (* (/ a2 a1) (/ a2 a1)) 1) #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 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(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) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 #s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (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)))
(fma.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #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 a1 a1 (*.f64 a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2)))) (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))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th)) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
Outputs
#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))
Calls

8 calls:

11.0ms
th
10.0ms
a2
10.0ms
(cos.f64 th)
10.0ms
a1
10.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
99.3%1(*.f64 a2 a2)
99.3%1(*.f64 a1 a1)
99.3%1(cos.f64 th)
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.3%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.3%1a1
99.3%1a2
99.3%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes85.0ms (2%)

Memory
-31.0MiB live, 159.7MiB allocated; 13ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #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 (+ (* (/ a2 a1) (/ a2 a1)) 1) #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 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(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) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 #s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (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)))
(fma.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #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 a1 a1 (*.f64 a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2)))) (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))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th)) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
Calls

8 calls:

16.0ms
th
10.0ms
a1
10.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
10.0ms
a2
10.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
99.0%1(*.f64 a2 a2)
99.0%1(*.f64 a1 a1)
99.0%1(cos.f64 th)
99.0%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.0%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.0%1a1
99.0%1a2
99.0%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes77.0ms (1.8%)

Memory
9.8MiB live, 154.5MiB allocated; 4ms collecting garbage
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #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 (+ (* (/ a2 a1) (/ a2 a1)) 1) #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 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(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) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 #s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (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)))
(fma.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #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 a1 a1 (*.f64 a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (* th th) -1/720) 1/24) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.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)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2)))) (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))) a1) a1 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (/ 1 (pow 4 -1/4))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/720 binary64)) th) th)) (*.f64 th th))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(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)))
Calls

8 calls:

11.0ms
a2
9.0ms
a1
9.0ms
th
9.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
9.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
66.8%1(*.f64 a2 a2)
70.1%3(*.f64 a1 a1)
77.2%2(cos.f64 th)
77.2%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
78.3%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)))
70.1%3a1
71.9%3a2
66.8%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #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 (+ (* (/ a2 a1) (/ a2 a1)) 1) #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 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(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) a2) a2) (* (* (cos th) a1) a1)) #s(approx (+ (* (+ (* -1/2 (+ (* a1 a1) (* a2 a2))) (* (+ (* 1/24 (+ (* a1 a1) (* a2 a2))) (* (* -1/720 (+ (* a1 a1) (* a2 a2))) (* th th))) (* th th))) (* th th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 #s(approx (- (* (+ (* (* th th) -1/720) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) (*.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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

1 calls:

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)))
Results
AccuracySegmentsBranch
78.3%2(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes19.0ms (0.5%)

Memory
-0.7MiB live, 46.7MiB allocated; 1ms 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 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #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 (+ (* (/ a2 a1) (/ a2 a1)) 1) #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 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (/.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 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

3.0ms
a2
2.0ms
a1
2.0ms
th
2.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
66.8%1th
66.8%1(*.f64 a2 a2)
66.8%1(*.f64 a1 a1)
66.8%1a1
66.8%1a2
66.8%1(cos.f64 th)
66.8%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
66.8%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes30.0ms (0.7%)

Memory
-11.3MiB live, 38.4MiB allocated; 16ms collecting garbage
Accuracy

Total -31.3b remaining (-146.8%)

Threshold costs -31.3b (-146.8%)

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

8 calls:

17.0ms
th
2.0ms
a1
2.0ms
a2
2.0ms
(cos.f64 th)
2.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
66.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
66.6%1(cos.f64 th)
66.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
66.6%1th
66.6%1(*.f64 a1 a1)
66.6%1(*.f64 a2 a2)
66.6%1a1
66.6%1a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.75128493176702e-223
-5.089492051227657e-235
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.75128493176702e-223
-5.089492051227657e-235
Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations296.0ms (6.8%)

Memory
14.5MiB live, 287.0MiB allocated; 73ms collecting garbage
Stop Event
fuel
Compiler

Compiled 347 to 60 computations (82.7% saved)

preprocess145.0ms (3.3%)

Memory
11.5MiB live, 154.4MiB allocated; 24ms collecting garbage
Remove

(abs th)

Compiler

Compiled 5 326 to 2 448 computations (54% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...