Migdal et al, Equation (64)

Time bar (total: 4.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.0s (21.5%)

Memory
58.8MiB live, 1 477.9MiB allocated; 262ms collecting garbage
Samples
745.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 524.0ms
ival-mult!: 268.0ms (51.1% of total)
ival-cos: 199.0ms (38% of total)
ival-div!: 38.0ms (7.2% of total)
ival-add!: 17.0ms (3.2% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain127.0ms (2.7%)

Memory
-30.4MiB live, 256.7MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
00-0-a2
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
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 (49.3% of total)
ival-mult!: 9.0ms (37% of total)
ival-div!: 2.0ms (8.2% of total)
ival-add!: 1.0ms (4.1% of total)
adjust: 0.0ms (0% of total)

preprocess261.0ms (5.6%)

Memory
38.6MiB live, 202.8MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041133
1163133
2595133
31542133
43030133
54451133
67243133
01219
02013
15213
217413
355113
4111213
5170613
6309013
7718313
0810012
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
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)))
Outputs
(+.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 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series69.0ms (1.5%)

Memory
-15.0MiB live, 50.1MiB allocated; 31ms 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
51.0ms
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)
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
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)

rewrite197.0ms (4.2%)

Memory
17.2MiB live, 150.2MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581016
0172890
1999852
08444800
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
46 → 152
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 a1)
a1
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 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))

eval51.0ms (1.1%)

Memory
-19.3MiB live, 30.3MiB allocated; 17ms collecting garbage
Compiler

Compiled 4 786 to 594 computations (87.6% saved)

prune11.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New17413187
Fresh000
Picked101
Done000
Total17513188
Accuracy
100.0%
Counts
188 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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)))))
99.6%
(/.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))
▶99.6%
(/.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))
▶99.7%
(/.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 (neg.f64 a2) a2) (cos.f64 th) (*.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
▶99.5%
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
99.6%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
61.6%
(+.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)))
30.6%
#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)))))
30.5%
#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)))))
▶61.5%
#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))))
55.2%
#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)))
▶99.2%
#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)))))
Compiler

Compiled 698 to 428 computations (38.7% saved)

series59.0ms (1.3%)

Memory
0.1MiB live, 48.2MiB allocated; 2ms collecting garbage
Counts
30 → 130
Calls
Call 1
Inputs
(/.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))
(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)))
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) a1)
(cos.f64 th)
th
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(*.f64 (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))))
(/.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 (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)
(/.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) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
Outputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a2) a2) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) a2) #s(hole binary64 (* a2 (sqrt 2))))
#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) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* (cos th) 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) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (+ (* (pow a2 2) (sqrt 2)) (* (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))))))))))
#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) 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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
Calls

9 calls:

TimeVariablePointExpression
23.0ms
a1
@inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (cos th) a2) a2) (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1))
7.0ms
th
@0
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (cos th) a2) a2) (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1))
4.0ms
a2
@inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (cos th) a2) a2) (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1))
4.0ms
a1
@0
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (cos th) a2) a2) (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1))
4.0ms
th
@inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (cos th) a2) a2) (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1))

rewrite223.0ms (4.8%)

Memory
-17.8MiB live, 161.3MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04754686
05314086
129224047
081793937
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
160 → 391
Calls
Call 1
Inputs
(/.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))
(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)))
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) a1)
(cos.f64 th)
th
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(*.f64 (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))))
(/.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 (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)
(/.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) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a2) a2) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) a2) #s(hole binary64 (* a2 (sqrt 2))))
#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) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* (cos th) 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) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (+ (* (pow a2 2) (sqrt 2)) (* (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))))))))))
#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) 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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
Outputs
(/.f64 (neg.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 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))) #s(literal 4 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 (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 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (cos.f64 th)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(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)))
(fma.f64 (*.f64 (cos.f64 th) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))))
(-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))))))
(+.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.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))
(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
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 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 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(*.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.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)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (*.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)))))
(-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.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)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.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)))))))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#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)) (sqrt 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (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 a2 a2 (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (sqrt 2) a1) a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
#s(approx (* (sqrt 2) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a1 a1)))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
#s(approx (* (sqrt 2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
#s(approx a2 a2)
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (*.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) a2) (*.f64 (cos.f64 th) a2))
#s(approx (* (* (cos th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a2) a2))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a2 a2)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a2 a2)))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))) (*.f64 th th))) (*.f64 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 #s(literal -1/2 binary64) (*.f64 a1 a1))) (*.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 #s(literal -1/2 binary64) (*.f64 a1 a1))) (*.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) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (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 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64))) (*.f64 th th))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal 1/24 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 (* (* a2 a2) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 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)) (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 (-.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 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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 th th))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))))
#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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th))))
#s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (*.f64 th th) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (*.f64 th th) (*.f64 a2 a2)))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (fma.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (cos th) (cos.f64 th))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))

eval83.0ms (1.8%)

Memory
15.4MiB live, 104.3MiB allocated; 18ms collecting garbage
Compiler

Compiled 16 915 to 1 739 computations (89.7% saved)

prune32.0ms (0.7%)

Memory
5.7MiB live, 61.7MiB allocated; 11ms collecting garbage
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New54020560
Fresh808
Picked415
Done000
Total55221573
Accuracy
100.0%
Counts
573 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
97.6%
(/.f64 (fma.f64 (*.f64 #s(approx (* (cos th) a1) 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))
20.2%
(/.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))))))
99.3%
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
30.5%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
99.2%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
99.6%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
61.6%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
▶99.2%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
30.5%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
61.4%
#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))))))
61.3%
#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))))
▶12.9%
#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))))
▶61.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
✓99.2%
#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)))))
62.7%
#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 (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)))))
57.6%
#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)))))
▶63.1%
#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 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
61.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
37.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
Compiler

Compiled 1 385 to 857 computations (38.1% saved)

series37.0ms (0.8%)

Memory
14.3MiB live, 59.6MiB allocated; 8ms collecting garbage
Counts
36 → 105
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (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 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 a2)
a2
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 th th)
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
Outputs
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 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 (+ (* 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 (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (* (sqrt 2) a1) a1) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#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 (/ (* (* (sqrt 2) a2) a2) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a2) a2) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) a2) #s(hole binary64 (* a2 (sqrt 2))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* 1/2 (* a2 a2)) #s(hole binary64 (* 1/2 (pow a2 2))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (pow a2 2)))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (+ (* (/ (cos th) (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 (+ (* -1/2 (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/1440 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/48 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
a1
@-inf
((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* a2 a2) (cos th)) (* a2 a2) a2 (cos th) th (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) (/ (* (* (sqrt 2) a2) a2) 2) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) (/ (* (* (sqrt 2) a1) a1) 2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* (sqrt 2) (cos th)))
4.0ms
a2
@inf
((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* a2 a2) (cos th)) (* a2 a2) a2 (cos th) th (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) (/ (* (* (sqrt 2) a2) a2) 2) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) (/ (* (* (sqrt 2) a1) a1) 2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* (sqrt 2) (cos th)))
4.0ms
a2
@-inf
((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* a2 a2) (cos th)) (* a2 a2) a2 (cos th) th (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) (/ (* (* (sqrt 2) a2) a2) 2) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) (/ (* (* (sqrt 2) a1) a1) 2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* (sqrt 2) (cos th)))
3.0ms
a2
@0
((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* a2 a2) (cos th)) (* a2 a2) a2 (cos th) th (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) (/ (* (* (sqrt 2) a2) a2) 2) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) (/ (* (* (sqrt 2) a1) a1) 2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* (sqrt 2) (cos th)))
3.0ms
a1
@0
((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* a2 a2) (cos th)) (* a2 a2) a2 (cos th) th (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) (/ (* (* (sqrt 2) a2) a2) 2) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) (/ (* (* (sqrt 2) a1) a1) 2) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* (sqrt 2) (cos th)))

rewrite261.0ms (5.6%)

Memory
5.3MiB live, 288.1MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04173732
04673348
125293292
0103743139
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
141 → 316
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (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 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 a2)
a2
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 th th)
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 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 (+ (* 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 (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (* (sqrt 2) a1) a1) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#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 (/ (* (* (sqrt 2) a2) a2) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a2) a2) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) a2) #s(hole binary64 (* a2 (sqrt 2))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* 1/2 (* a2 a2)) #s(hole binary64 (* 1/2 (pow a2 2))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (/ (* (* (sqrt 2) a2) a2) 2) (/ (* (* (sqrt 2) a1) a1) 2)) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (pow a2 2)))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))))
#s(approx (* (* a2 a2) (cos th)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (+ (* (/ (cos th) (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 (+ (* -1/2 (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/1440 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/48 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.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))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))) #s(literal 4 binary64))
(/.f64 (neg.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))
(/.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))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (cos.f64 th)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.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)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.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)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64))) (-.f64 (*.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))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.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))))))
(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)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 th) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.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)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (*.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)))))
(-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (cos.f64 th)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.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)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.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)))))))
(+.f64 (*.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)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 (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
(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
(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 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(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 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 th th) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 th th) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) th) th #s(literal 1 binary64))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 th th)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 (neg.f64 (fabs.f64 th)) (neg.f64 (fabs.f64 th)))
(*.f64 (fabs.f64 (fabs.f64 th)) (fabs.f64 (fabs.f64 th)))
(*.f64 (exp.f64 (log.f64 th)) (exp.f64 (log.f64 th)))
(*.f64 (neg.f64 (neg.f64 th)) (neg.f64 (neg.f64 th)))
(*.f64 (fabs.f64 th) (fabs.f64 th))
(*.f64 (neg.f64 th) (neg.f64 th))
(*.f64 th th)
(pow.f64 (exp.f64 (log.f64 th)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 th) #s(literal 2 binary64))
(pow.f64 (neg.f64 th) #s(literal 2 binary64))
(pow.f64 (*.f64 th th) #s(literal 1 binary64))
(pow.f64 th #s(literal 2 binary64))
(fabs.f64 (*.f64 th th))
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))
#s(literal 1 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.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 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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 (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 8 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 8 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 a1 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 #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 (+.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) #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 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 8 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a1 a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) #s(literal 4 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #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 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 8 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 8 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal 4 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 2 binary64))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 a1 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 a1 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 #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 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #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 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 a1 #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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 #s(literal 2 binary64) #s(literal 3/2 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 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 8 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 4 binary64))))) (/.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 8 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 a1 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 a1 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(*.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 a1 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2)
(*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (sqrt 2) a1) a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
#s(approx (* (sqrt 2) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (sqrt 2) a1) a1) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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 (cos.f64 th) a2) a1) (/.f64 a2 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 a2 a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (* (* a2 a2) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx a2 a2)
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (* (sqrt 2) a2) a2) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)))
#s(approx (* (* (sqrt 2) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
#s(approx (* (sqrt 2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* 1/2 (* a2 a2)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (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 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) (/.f64 a1 a2)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th))))
#s(approx (* (* a2 a2) (cos th)) (*.f64 a2 a2))
#s(approx (* (* a2 a2) (cos th)) (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 a2 a2)))
#s(approx (* (* a2 a2) (cos th)) (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2)))
#s(approx (* (* a2 a2) (cos th)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2))) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2)))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (fma.f64 (*.f64 (pow.f64 (*.f64 a1 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 a1 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 a1 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64))) (*.f64 th th))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #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 (* (* a2 a2) (/ (cos th) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal 1/24 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 (* (* a2 a2) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 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 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* th th)) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (*.f64 th th))) (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (cos th) (cos.f64 th))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (-.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 th th)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (* (sqrt 2) (cos th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

eval60.0ms (1.3%)

Memory
-40.7MiB live, 107.6MiB allocated; 19ms collecting garbage
Compiler

Compiled 16 304 to 1 604 computations (90.2% saved)

prune34.0ms (0.7%)

Memory
26.9MiB live, 73.2MiB allocated; 6ms collecting garbage
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New42713440
Fresh51015
Picked325
Done011
Total43526461
Accuracy
100.0%
Counts
461 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal 2 binary64))
20.2%
(/.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))))))
99.2%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶99.6%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
▶61.6%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
✓99.2%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
62.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
▶57.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
63.1%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
61.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
61.4%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
▶30.5%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
61.4%
#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))))))
63.1%
#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 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
61.3%
#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))))
✓12.9%
#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))))
✓99.2%
#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)))))
62.7%
#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 (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)))))
57.6%
#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)))))
18.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
61.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
62.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 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))))))
37.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
▶12.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
Compiler

Compiled 1 846 to 1 159 computations (37.2% saved)

series64.0ms (1.4%)

Memory
-5.1MiB live, 92.5MiB allocated; 22ms collecting garbage
Counts
39 → 127
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
#s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2))
(*.f64 a2 a2)
(*.f64 (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))))
#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 binary64)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (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 (* (* (* (sqrt 2) a1) a1) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 2))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #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 (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (* -1/2 (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* -1/2 (pow a2 2))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #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)) (* (/ (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 (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 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 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (* -1/2 (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* -1/2 (pow a1 2))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (pow a1 2))) 1/2))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* 1/2 (* a2 a2)) #s(hole binary64 (* 1/2 (pow a2 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #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 (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (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 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (pow a2 2))) 1/2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/1440 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/48 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (+ (* (- (* 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 (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (- (* 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 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
a1
@inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) 1/2) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) (* a2 a2) (* (sqrt 2) (cos th)) (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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* -1/2 (+ (* a2 a2) (* a1 a1))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
10.0ms
th
@0
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) 1/2) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) (* a2 a2) (* (sqrt 2) (cos th)) (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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* -1/2 (+ (* a2 a2) (* a1 a1))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
9.0ms
a2
@-inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) 1/2) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) (* a2 a2) (* (sqrt 2) (cos th)) (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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* -1/2 (+ (* a2 a2) (* a1 a1))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
6.0ms
th
@inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) 1/2) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) (* a2 a2) (* (sqrt 2) (cos th)) (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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* -1/2 (+ (* a2 a2) (* a1 a1))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
5.0ms
a1
@0
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) 1/2) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) (* a2 a2) (* (sqrt 2) (cos th)) (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 (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* -1/2 (+ (* a2 a2) (* a1 a1))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))

rewrite222.0ms (4.8%)

Memory
-16.4MiB live, 216.0MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04764588
05344154
128214077
081123978
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
166 → 430
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
#s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2))
(*.f64 a2 a2)
(*.f64 (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))))
#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 binary64)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (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 (* (* (* (sqrt 2) a1) a1) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 2))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #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 (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (* -1/2 (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* -1/2 (pow a2 2))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #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)) (* (/ (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 (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 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 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (* -1/2 (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* -1/2 (pow a1 2))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (pow a1 2))) 1/2))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* 1/2 (* a2 a2)) #s(hole binary64 (* 1/2 (pow a2 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #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 (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (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 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (pow a2 2))) 1/2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/1440 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/48 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (+ (* (- (* 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 (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (- (* 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 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(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 (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 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 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (+.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 (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))))))
(/.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 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 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 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
a2
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
a1
#s(literal 1/2 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 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 #s(literal 1/2 binary64)))
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(+.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.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))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.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(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 th th) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 2 binary64)) (/.f64 (-.f64 (*.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)))) (/.f64 (pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.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)))))
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 6 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 6 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 a1 a1) #s(literal -1/2 binary64) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 a2 a2) #s(literal -1/2 binary64) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))
#s(literal -1/2 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 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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 (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 (neg.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (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 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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 (*.f64 (fma.f64 a1 a1 (*.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 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #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 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 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 (* 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 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 (* (* (* (sqrt 2) a1) a1) 1/2) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)))
#s(approx (* (* (sqrt 2) a1) a1) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (* (sqrt 2) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.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 (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.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 (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* (/ (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 (+.f64 (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (+.f64 (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a1 a1)))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 a1 a1)) #s(literal 1/2 binary64)) (*.f64 a1 a1)))
#s(approx a2 a2)
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* 1/2 (* a2 a2)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2)))
#s(approx (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a2 a2)))
#s(approx (* -1/2 (+ (* a2 a2) (* a1 a1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64)) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 th th) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.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 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 th th) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))) (*.f64 th th) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 th th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 th th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 th th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th))) (*.f64 th th) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (*.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 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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 #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))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 #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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/48 binary64))) (*.f64 th th) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/1440 binary64))) (*.f64 th th))) (*.f64 th th) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (- (* 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))) (/.f64 (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))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 #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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (* (sqrt 2) (cos th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
#s(approx (cos th) (cos.f64 th))
#s(approx (+ (* (- (* 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 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))

eval134.0ms (2.9%)

Memory
-17.8MiB live, 170.5MiB allocated; 90ms collecting garbage
Compiler

Compiled 32 159 to 2 680 computations (91.7% saved)

prune53.0ms (1.1%)

Memory
21.6MiB live, 113.6MiB allocated; 8ms collecting garbage
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New66912681
Fresh41418
Picked325
Done033
Total67631707
Accuracy
100.0%
Counts
707 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
57.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 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)))))
✓61.6%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
99.6%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)))
61.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
✓99.2%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
62.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
63.1%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
61.4%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
50.5%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* a2 a2) (* a1 a1)) (*.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)))))
30.4%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
12.1%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
16.3%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
18.7%
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
61.4%
#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))))))
63.1%
#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 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
61.3%
#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))))
✓12.9%
#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))))
✓99.2%
#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)))))
62.7%
#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 (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)))))
57.6%
#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)))))
18.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
61.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
62.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 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))))))
37.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
27.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
12.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
✓12.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
12.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 3 429 to 1 091 computations (68.2% saved)

regimes200.0ms (4.3%)

Memory
-32.3MiB live, 204.5MiB allocated; 36ms collecting garbage
Counts
59 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 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 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.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))) #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 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* a2 a2) (* a1 a1)) (*.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 (*.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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
#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))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) #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 #s(approx (* (cos th) a1) 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 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #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)))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
(/.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 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #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))) 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 (*.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 (*.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))))))
Outputs
(/.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))
Calls

8 calls:

19.0ms
(*.f64 a2 a2)
17.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms
(*.f64 a1 a1)
15.0ms
th
15.0ms
a1
Results
AccuracySegmentsBranch
99.7%1(*.f64 a2 a2)
99.7%1(*.f64 a1 a1)
99.7%1(cos.f64 th)
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1a1
99.7%1a2
99.7%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes153.0ms (3.3%)

Memory
20.2MiB live, 213.4MiB allocated; 14ms collecting garbage
Counts
53 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 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 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.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))) #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 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* a2 a2) (* a1 a1)) (*.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 (*.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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
#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))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) #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 #s(approx (* (cos th) a1) 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 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #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)))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
(/.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 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)))
Calls

8 calls:

43.0ms
(*.f64 a2 a2)
30.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms
th
14.0ms
a1
13.0ms
a2
Results
AccuracySegmentsBranch
99.6%1(*.f64 a2 a2)
99.6%1(*.f64 a1 a1)
99.6%1(cos.f64 th)
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%1a1
99.6%1a2
99.6%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes144.0ms (3.1%)

Memory
-21.5MiB live, 171.8MiB allocated; 32ms collecting garbage
Counts
42 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 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 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.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))) #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 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* a2 a2) (* a1 a1)) (*.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 (*.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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
#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))
(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
Calls

8 calls:

41.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
33.0ms
(*.f64 a2 a2)
14.0ms
a1
14.0ms
th
11.0ms
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)

regimes88.0ms (1.9%)

Memory
-3.0MiB live, 187.6MiB allocated; 18ms collecting garbage
Counts
38 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 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 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.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))) #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 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* a2 a2) (* a1 a1)) (*.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 (*.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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Calls

8 calls:

14.0ms
a1
12.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
11.0ms
(*.f64 a2 a2)
10.0ms
(*.f64 a1 a1)
10.0ms
th
Results
AccuracySegmentsBranch
99.3%1(*.f64 a2 a2)
99.3%1(*.f64 a1 a1)
99.3%1(cos.f64 th)
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.3%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.3%1a1
99.3%1a2
99.3%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes116.0ms (2.5%)

Memory
24.9MiB live, 161.2MiB allocated; 12ms collecting garbage
Counts
37 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 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 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.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))) #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 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* a2 a2) (* a1 a1)) (*.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 (*.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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Calls

8 calls:

34.0ms
a1
23.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
12.0ms
(*.f64 a2 a2)
10.0ms
a2
9.0ms
th
Results
AccuracySegmentsBranch
99.2%1(*.f64 a2 a2)
99.2%1(*.f64 a1 a1)
99.2%1(cos.f64 th)
99.2%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.2%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.2%1a1
99.2%1a2
99.2%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes82.0ms (1.8%)

Memory
6.2MiB live, 194.7MiB allocated; 15ms collecting garbage
Counts
36 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 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 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.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))) #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 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* a2 a2) (* a1 a1)) (*.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 (*.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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (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)))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64))))
Calls

8 calls:

14.0ms
th
12.0ms
a1
10.0ms
(*.f64 a2 a2)
10.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
9.0ms
a2
Results
AccuracySegmentsBranch
66.8%2(*.f64 a2 a2)
65.4%2(*.f64 a1 a1)
74.9%2(cos.f64 th)
74.9%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
75.8%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)))
65.4%2a1
67.1%2a2
65.1%2th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes8.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Counts
26 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 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 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #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) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (+ (* (/ (* -1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (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))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.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))) #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 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
Calls

1 calls:

6.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
75.7%2(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes9.0ms (0.2%)

Memory
-39.0MiB live, 13.0MiB allocated; 6ms collecting garbage
Counts
13 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
Calls

1 calls:

4.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
75.7%2(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes31.0ms (0.7%)

Memory
35.4MiB live, 82.1MiB allocated; 3ms collecting garbage
Counts
12 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
Calls

8 calls:

5.0ms
(*.f64 a2 a2)
4.0ms
a1
4.0ms
a2
4.0ms
th
3.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
61.6%1th
61.6%1(*.f64 a1 a1)
61.6%1a1
61.6%1(*.f64 a2 a2)
61.6%1a2
61.6%1(cos.f64 th)
61.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
61.6%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)))
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes24.0ms (0.5%)

Memory
-1.9MiB live, 45.5MiB allocated; 1ms collecting garbage
Counts
9 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.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))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos 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 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
Calls

8 calls:

4.0ms
a2
3.0ms
a1
3.0ms
th
3.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
3.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
61.4%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)))
61.4%1th
61.4%1(cos.f64 th)
61.4%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
61.4%1(*.f64 a2 a2)
61.4%1(*.f64 a1 a1)
61.4%1a1
61.4%1a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes41.0ms (0.9%)

Memory
-29.2MiB live, 17.9MiB allocated; 2ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

32.0ms
a1
1.0ms
th
1.0ms
a2
1.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
1.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
12.9%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
12.9%1(cos.f64 th)
12.9%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
12.9%1th
12.9%1(*.f64 a2 a2)
12.9%1(*.f64 a1 a1)
12.9%1a1
12.9%1a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.120097527530087e-232
-3.445162386737e-244
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.120097527530087e-232
-3.445162386737e-244
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.120097527530087e-232
-3.445162386737e-244
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify65.0ms (1.4%)

Memory
-3.7MiB live, 52.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0100559
1176559
2471499
31572499
44372499
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.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))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(if (<=.f64 (+.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))) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))))) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)))))
(if (<=.f64 (+.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))) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))))) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))))
(if (<=.f64 (+.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))) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 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(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(/.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))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(if (<=.f64 (+.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))) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))))) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)))))
(if (<=.f64 (+.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))) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))))) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))))
(if (<=.f64 (+.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))) #s(literal -5593535921577141/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 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(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))

derivations479.0ms (10.3%)

Memory
26.2MiB live, 594.9MiB allocated; 57ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 577 to 104 computations (82% saved)

preprocess239.0ms (5.1%)

Memory
-8.5MiB live, 419.0MiB allocated; 48ms collecting garbage
Remove

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 8 660 to 4 448 computations (48.6% saved)

end0.0ms (0%)

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

Profiling

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