Migdal et al, Equation (64)

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 14 computations (33.3% saved)

sample961.0ms (29%)

Memory
17.1MiB live, 1 664.2MiB allocated; 183ms collecting garbage
Samples
665.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 424.0ms
ival-cos: 210.0ms (49.5% of total)
ival-mult!: 154.0ms (36.3% of total)
ival-div!: 41.0ms (9.7% of total)
ival-add!: 18.0ms (4.2% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain146.0ms (4.4%)

Memory
-4.4MiB live, 232.6MiB allocated; 17ms 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
48.0ms512×0valid
Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-cos: 13.0ms (49.6% of total)
ival-mult!: 9.0ms (34.3% of total)
ival-div!: 2.0ms (7.6% of total)
ival-add!: 1.0ms (3.8% of total)
adjust: 0.0ms (0% of total)

preprocess254.0ms (7.7%)

Memory
10.5MiB live, 197.6MiB allocated; 34ms 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
1.1MiB live, 1.1MiB 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)

series21.0ms (0.6%)

Memory
-7.9MiB live, 39.1MiB allocated; 3ms collecting garbage
Counts
12 → 34
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 a1)
a1
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
Calls

9 calls:

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

rewrite234.0ms (7.1%)

Memory
-12.7MiB live, 255.8MiB allocated; 103ms 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))

eval35.0ms (1.1%)

Memory
11.9MiB live, 53.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 786 to 594 computations (87.6% saved)

prune29.0ms (0.9%)

Memory
-15.6MiB live, 27.8MiB allocated; 6ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New17512187
Fresh000
Picked101
Done000
Total17612188
Accuracy
100.0%
Counts
188 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.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))))
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 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
20.2%
(/.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)))))
99.5%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
99.6%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a2 a2)))
▶67.1%
(+.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)))
28.3%
#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)))))
▶67.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
▶55.5%
#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)))
▶99.5%
#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 684 to 414 computations (39.5% saved)

series109.0ms (3.3%)

Memory
-2.1MiB live, 132.3MiB allocated; 73ms collecting garbage
Counts
33 → 111
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)))
#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 (*.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 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(/.f64 a2 a1)
#s(literal 1 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 (/.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))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 a1) #s(hole binary64 (/ a2 a1)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (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 (* 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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (* (* (* (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) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (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 (* (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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) 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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
Calls

9 calls:

TimeVariablePointExpression
36.0ms
a2
@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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2)
24.0ms
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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2)
5.0ms
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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2)
5.0ms
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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2)
5.0ms
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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (pow 2 -1/2) -1/2)

rewrite227.0ms (6.9%)

Memory
15.3MiB live, 199.8MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04403973
04893528
127533449
081313362
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
144 → 383
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)))
#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 (*.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 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(/.f64 a2 a1)
#s(literal 1 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 (/.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))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 a1) #s(hole binary64 (/ a2 a1)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (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 (* 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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (* (* (* (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) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (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 (* (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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) 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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))) (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 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 a2 (cos.f64 th)) (*.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 a1 (sqrt.f64 #s(literal 2 binary64))) (*.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 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 4 binary64) #s(literal -1/4 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 (cos.f64 th)))
(*.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (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 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 2 binary64))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (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 a1) (sqrt.f64 #s(literal 2 binary64))) #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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.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 (-.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 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.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)))))
(/.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)))))
(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 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.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 (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 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.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))))
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(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (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)))
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(/.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)))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) a1)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64))) (cos.f64 th)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (cos.f64 th)) (*.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64))) (cos.f64 th)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(/.f64 (fma.f64 #s(literal 2 binary64) a1 (*.f64 #s(literal 2 binary64) (*.f64 a2 (/.f64 a2 a1)))) (*.f64 #s(literal 2 binary64) a1))
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(fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 a2 a1) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 a2 a1)) (neg.f64 (/.f64 a2 a1)) #s(literal 1 binary64))
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(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)))
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(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a1)))
(/.f64 (neg.f64 a2) (neg.f64 a1))
(/.f64 a2 a1)
#s(literal 1 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) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 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) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 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) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 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) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.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) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (*.f64 a2 a2) (*.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) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 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 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))))
(-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 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) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
(*.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 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) a2) a2)
(*.f64 (*.f64 a2 a2) #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (*.f64 a2 a2))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(tanh.f64 (asinh.f64 #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.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 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sin.f64 (atan.f64 #s(literal 1 binary64)))
(cos.f64 (atan.f64 #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
#s(literal -1/2 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 (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 (*.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) (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 (/ (+ (* 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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (*.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ a2 a1) (/.f64 a2 a1))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (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 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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) 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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 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 (cos.f64 th) a1) (/.f64 (*.f64 a2 a2) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a1) (/.f64 (*.f64 a2 a2) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 (cos.f64 th) a1) (/.f64 (*.f64 a2 a2) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
#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 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) 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) (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 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.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 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (*.f64 (/.f64 (+.f64 (/.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (fma.f64 (pow.f64 a1 #s(literal -2 binary64)) (*.f64 a2 a2) #s(literal 1 binary64)))
#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 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (cos th) a1) a1)
#s(approx (* (cos th) a1) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a1)) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (cos th) #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) 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (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)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) (*.f64 th th) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a1 a1)) (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th th) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (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 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (*.f64 #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) 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 (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))

eval63.0ms (1.9%)

Memory
0.5MiB live, 88.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 20 210 to 1 919 computations (90.5% saved)

prune68.0ms (2%)

Memory
-0.3MiB live, 54.3MiB allocated; 60ms collecting garbage
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New55117568
Fresh617
Picked415
Done000
Total56119580
Accuracy
100.0%
Counts
580 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.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))))
99.5%
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
98.5%
(/.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))
▶28.3%
(/.f64 #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(literal 2 binary64))
67.1%
#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)))
▶99.7%
#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))))
28.3%
#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))))))
28.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
66.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
▶99.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
67.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶11.0%
#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))))
55.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
32.5%
#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 #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 a1 a1)))
40.3%
#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 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
99.5%
#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))
✓99.5%
#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)))))
▶56.8%
#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)))))
67.0%
#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)))))
Compiler

Compiled 1 293 to 783 computations (39.4% saved)

series44.0ms (1.3%)

Memory
14.1MiB live, 64.3MiB allocated; 8ms collecting garbage
Counts
34 → 112
Calls
Call 1
Inputs
#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))))
(*.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 a2 a2)
a2
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 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)
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 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 #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)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #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(literal 2 binary64))
#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))))
(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)))
(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))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th 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) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (+ (* (pow a1 2) (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))) (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* -1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #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) 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) (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) 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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (+ (* -1/2 (* (pow th 2) (sqrt 2))) (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (* (pow th 2) (sqrt 2))) (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2)))))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* -1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #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 (* (* 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 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) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2)))))))))
#s(approx (/ (* (* a2 a2) (cos th)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* a2 a2) (cos th)) #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) (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) 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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (+ (* -1/2 (* (pow th 2) (sqrt 2))) (+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (* (pow th 2) (sqrt 2))) (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2)))))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #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) 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 (* (* 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 (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #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 (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 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 (* (* 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) 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 (* (sqrt 2) (cos th)) #s(hole binary64 (* (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 (+ (* (* th th) -1/2) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
a2
@inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* a2 a2) a2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* 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) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (/ (+ (* (* (* (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))) (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (+ (* a2 a2) (* a1 a1)) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)))
7.0ms
a2
@-inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* a2 a2) a2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* 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) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (/ (+ (* (* (* (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))) (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (+ (* a2 a2) (* a1 a1)) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)))
4.0ms
th
@inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* a2 a2) a2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* 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) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (/ (+ (* (* (* (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))) (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (+ (* a2 a2) (* a1 a1)) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)))
4.0ms
th
@-inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* a2 a2) a2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* 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) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (/ (+ (* (* (* (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))) (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (+ (* a2 a2) (* a1 a1)) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)))
4.0ms
a2
@0
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)) 1/2 (* a2 a2) a2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* 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) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (/ (+ (* (* (* (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))) (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (+ (* a2 a2) (* a1 a1)) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)))

rewrite188.0ms (5.7%)

Memory
-9.1MiB live, 173.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04414078
04873713
127803654
081213548
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
146 → 344
Calls
Call 1
Inputs
#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))))
(*.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 a2 a2)
a2
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 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)
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 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 #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)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #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(literal 2 binary64))
#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))))
(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)))
(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))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
#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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th 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) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (+ (* (pow a1 2) (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))) (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* -1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #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) 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) (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) 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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (+ (* -1/2 (* (pow th 2) (sqrt 2))) (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (* (pow th 2) (sqrt 2))) (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2)))))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* -1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #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 (* (* 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 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) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2)))))))))
#s(approx (/ (* (* a2 a2) (cos th)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* a2 a2) (cos th)) #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) (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) 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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (+ (* -1/2 (* (pow th 2) (sqrt 2))) (+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (* (pow th 2) (sqrt 2))) (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2)))))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #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) 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 (* (* 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 (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #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 (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) #s(hole binary64 (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 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 (* (* 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) 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 (* (sqrt 2) (cos th)) #s(hole binary64 (* (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 (+ (* (* th th) -1/2) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(*.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 (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
(*.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)))
(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
#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))))
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(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 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 #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 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 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 #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 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (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 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (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 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))))) (/.f64 (*.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 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(/.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (/.f64 (pow.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.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 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))) (/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))))
(+.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(+.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (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 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 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) (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 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#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)) (*.f64 a2 a2)))
#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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th 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 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (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 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (*.f64 a1 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 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 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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (*.f64 (*.f64 (pow.f64 (*.f64 a1 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (fma.f64 (/.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 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 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) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th 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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (fma.f64 (*.f64 (pow.f64 (*.f64 a1 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#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) (cos th)) (*.f64 (*.f64 a2 a2) (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 a1 (cos.f64 th)) 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a1 (cos.f64 th)) a2) (/.f64 a1 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) 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 (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (*.f64 a1 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (*.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (*.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (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))) 2) (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th))) (*.f64 th th))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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 #s(literal 1/48 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64))))
#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 #s(literal -1/1440 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))) (*.f64 th th) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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) #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 #s(literal 1/24 binary64) (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (* a2 a2) (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 (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* th th) -1/2) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (fma.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (fma.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 th th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 th th)))
#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 (* (* 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) 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 (* (sqrt 2) (cos th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
#s(approx (cos th) (cos.f64 th))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* (* th th) -1/2) 1) (*.f64 (-.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 th th)))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 th th)))
#s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th)))

eval61.0ms (1.8%)

Memory
34.4MiB live, 79.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 25 212 to 2 247 computations (91.1% saved)

prune32.0ms (1%)

Memory
-33.5MiB live, 63.2MiB allocated; 10ms collecting garbage
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New51612528
Fresh8513
Picked235
Done011
Total52621547
Accuracy
100.0%
Counts
547 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.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))))
99.5%
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
28.3%
(/.f64 #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) #s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (*.f64 th th)))) #s(literal 2 binary64))
53.2%
(/.f64 #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) #s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))) #s(literal 2 binary64))
10.6%
(/.f64 #s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) #s(literal 2 binary64))
▶99.7%
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
✓99.7%
#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))))
67.1%
#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)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
▶67.1%
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64))))
66.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
✓99.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
56.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
▶99.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
67.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓11.0%
#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))))
55.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
✓99.5%
#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)))))
▶12.6%
#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 (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
67.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
56.1%
#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))))))
▶40.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
Compiler

Compiled 1 473 to 900 computations (38.9% saved)

series33.0ms (1%)

Memory
11.5MiB live, 57.1MiB allocated; 3ms collecting garbage
Counts
35 → 94
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64))
(*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(cos.f64 th)
th
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #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 (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 a2)
(/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))
#s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
(*.f64 (*.f64 th th) #s(literal -1/2 binary64))
(*.f64 th th)
#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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(/.f64 a2 a1)
a1
#s(literal 1 binary64)
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (cos.f64 th))
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) (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 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 a1) #s(hole binary64 (/ a2 a1)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 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) (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 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* a2 (sqrt 2)) a2) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 (sqrt 2)) a2) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* a2 (sqrt 2)) #s(hole binary64 (* a2 (sqrt 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 (* (* 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 (/ (* a2 (* a2 (cos th))) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* a2 (* a2 (cos th))) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* a2 (cos th)) #s(hole binary64 (* a2 (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) (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 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) 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 (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (* a2 (sqrt 2)) a2) 1/2) (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 (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 (* (* 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 (+ (* (/ (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 (+ (* (* th th) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* (* th th) -1/2) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (* th th) #s(hole binary64 (pow th 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 (* 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 (* a2 (cos th)) #s(hole binary64 a2))
#s(approx (* a2 (cos th)) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* a2 (cos th)) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* a2 (cos th)) #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) 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 (+ (* (* th th) -1/2) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
th
@inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) (* (* (* a2 (sqrt 2)) a2) 1/2) (* (* a2 (sqrt 2)) a2) (* a2 (sqrt 2)) a2 (sqrt 2) 2 1/2 (cos th) th (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (+ (* (/ (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) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) a1 1 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* a2 (* a2 (cos th))) (sqrt 2)) (* a2 (* a2 (cos th))) (* a2 (cos th)))
5.0ms
a2
@-inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) (* (* (* a2 (sqrt 2)) a2) 1/2) (* (* a2 (sqrt 2)) a2) (* a2 (sqrt 2)) a2 (sqrt 2) 2 1/2 (cos th) th (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (+ (* (/ (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) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) a1 1 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* a2 (* a2 (cos th))) (sqrt 2)) (* a2 (* a2 (cos th))) (* a2 (cos th)))
4.0ms
a2
@inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) (* (* (* a2 (sqrt 2)) a2) 1/2) (* (* a2 (sqrt 2)) a2) (* a2 (sqrt 2)) a2 (sqrt 2) 2 1/2 (cos th) th (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (+ (* (/ (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) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) a1 1 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* a2 (* a2 (cos th))) (sqrt 2)) (* a2 (* a2 (cos th))) (* a2 (cos th)))
4.0ms
a2
@0
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) (* (* (* a2 (sqrt 2)) a2) 1/2) (* (* a2 (sqrt 2)) a2) (* a2 (sqrt 2)) a2 (sqrt 2) 2 1/2 (cos th) th (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (+ (* (/ (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) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) a1 1 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* a2 (* a2 (cos th))) (sqrt 2)) (* a2 (* a2 (cos th))) (* a2 (cos th)))
3.0ms
th
@-inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) (* (* (* a2 (sqrt 2)) a2) 1/2) (* (* a2 (sqrt 2)) a2) (* a2 (sqrt 2)) a2 (sqrt 2) 2 1/2 (cos th) th (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (+ (* (/ (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) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) a1 1 (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* a2 (* a2 (cos th))) (sqrt 2)) (* a2 (* a2 (cos th))) (* a2 (cos th)))

rewrite173.0ms (5.2%)

Memory
42.3MiB live, 224.8MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03693076
04052796
121232742
089192612
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
129 → 300
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64))
(*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(cos.f64 th)
th
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #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 (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 a2)
(/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))
#s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
(*.f64 (*.f64 th th) #s(literal -1/2 binary64))
(*.f64 th th)
#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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(/.f64 a2 a1)
a1
#s(literal 1 binary64)
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (cos.f64 th))
#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) (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 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 a1) #s(hole binary64 (/ a2 a1)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 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) (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 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* a2 (sqrt 2)) a2) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 (sqrt 2)) a2) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* a2 (sqrt 2)) #s(hole binary64 (* a2 (sqrt 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 (* (* 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 (/ (* a2 (* a2 (cos th))) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* a2 (* a2 (cos th))) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* a2 (cos th)) #s(hole binary64 (* a2 (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) (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 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) 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 (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* (* a2 (sqrt 2)) a2) 1/2) (cos th)) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (* a2 (sqrt 2)) a2) 1/2) (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 (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 (* (* 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 (+ (* (/ (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 (+ (* (* th th) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* (* th th) -1/2) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (* th th) #s(hole binary64 (pow th 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 (* 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 (* a2 (cos th)) #s(hole binary64 a2))
#s(approx (* a2 (cos th)) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* a2 (cos th)) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* a2 (cos th)) #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) 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 (+ (* (* th th) -1/2) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (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 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) 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 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64))
(*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
a2
(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)
#s(literal 1/2 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
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #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 (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))
#s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
(*.f64 (*.f64 th th) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 th th))
(*.f64 th (*.f64 th #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 -1/2 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 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)))
(+.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))))
(+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a1)))
(/.f64 (neg.f64 a2) (neg.f64 a1))
(/.f64 a2 a1)
a1
#s(literal 1 binary64)
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (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 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (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) 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) (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 (/ (+ (* 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 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ a2 a1) (/.f64 a2 a1))
#s(approx a1 a1)
#s(approx (* a1 a1) (*.f64 a1 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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (*.f64 (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 (cos.f64 th)) a1) (/.f64 a2 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* (* 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 (* (* (* a2 (sqrt 2)) a2) 1/2) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)))
#s(approx (* (* a2 (sqrt 2)) a2) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (* a2 (sqrt 2)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx 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 (/ (* 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 (/ (* a2 (* a2 (cos th))) (sqrt 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* a2 (* a2 (cos th))) (*.f64 (*.f64 a2 (cos.f64 th)) a2))
#s(approx (* a2 (cos th)) (*.f64 a2 (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (*.f64 (/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (cos.f64 th)) a2) (/.f64 a1 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (pow.f64 a2 #s(literal -2 binary64)) (pow.f64 a1 #s(literal -2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (fma.f64 (pow.f64 a1 #s(literal -2 binary64)) (*.f64 a2 a2) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* (* (cos th) 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 (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (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 -1/4 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.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 #s(literal -1/1440 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))) (*.f64 th th))))
#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 (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (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 -1/4 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.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 #s(literal -1/1440 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* a2 (* a2 (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 (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* th th) -1/2) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* th th) -1/2) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
#s(approx (* th th) (*.f64 th th))
#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 (* 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 (* a2 (cos th)) a2)
#s(approx (* a2 (cos th)) (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/2 binary64) a2))
#s(approx (* a2 (cos th)) (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 (* a2 (cos th)) (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) 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 (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* (* th th) -1/2) 1) (*.f64 (-.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 th th)))

eval81.0ms (2.5%)

Memory
-36.3MiB live, 54.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 16 918 to 1 595 computations (90.6% saved)

prune63.0ms (1.9%)

Memory
11.2MiB live, 71.9MiB allocated; 23ms collecting garbage
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New35813371
Fresh6612
Picked145
Done134
Total36626392
Accuracy
100.0%
Counts
392 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.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))))
53.2%
(/.f64 #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) #s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))) #s(literal 2 binary64))
10.6%
(/.f64 #s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) #s(literal 2 binary64))
99.5%
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
✓99.7%
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
56.9%
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
99.7%
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 th)))
✓99.7%
#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))))
67.1%
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) a2) #s(literal 1/2 binary64))))
✓67.1%
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64))))
67.1%
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
66.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
12.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
67.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 #s(approx (* a2 (cos th)) a2)) (sqrt.f64 #s(literal 2 binary64))))
✓11.0%
#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))))
55.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
✓99.5%
#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)))))
67.0%
#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 (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
12.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))
✓40.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
32.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
40.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64) (*.f64 a1 #s(literal 2 binary64))) (*.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
25.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a1 a1) a1 (*.f64 (*.f64 a1 a1) (*.f64 (/.f64 a2 a1) a2))) (*.f64 (*.f64 a1 a1) a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
32.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
11.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
Compiler

Compiled 3 144 to 935 computations (70.3% saved)

regimes113.0ms (3.4%)

Memory
-5.1MiB live, 181.1MiB allocated; 17ms collecting garbage
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 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)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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 #s(approx (* a2 (cos th)) a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 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 (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 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 #s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) #s(literal 2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#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))))))
(/.f64 #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) #s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))) #s(literal 2 binary64))
(/.f64 #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) #s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (*.f64 th th)))) #s(literal 2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64) (*.f64 a1 #s(literal 2 binary64))) (*.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 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)))) (*.f64 a1 a1)))
(/.f64 #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(literal 2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a1 a1) a1 (*.f64 (*.f64 a1 a1) (*.f64 (/.f64 a2 a1) a2))) (*.f64 (*.f64 a1 a1) a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) a2) #s(literal 1/2 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 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #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))
#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) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) a2) #s(literal 1/2 binary64)) (cos.f64 th)))
(/.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)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (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))
(+.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)) (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) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a2 a2)))
(/.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)))))
Outputs
#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))))
Calls

8 calls:

16.0ms
(*.f64 a2 a2)
15.0ms
th
15.0ms
(cos.f64 th)
14.0ms
a1
13.0ms
a2
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)

regimes69.0ms (2.1%)

Memory
14.6MiB live, 107.5MiB allocated; 5ms collecting garbage
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 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)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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 #s(approx (* a2 (cos th)) a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 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 (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 binary64)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 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 #s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(approx (+ (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (* (* -1/2 (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (* th th))) (*.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) #s(literal 2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#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))))))
(/.f64 #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) #s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))) #s(literal 2 binary64))
(/.f64 #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) #s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (*.f64 th th)))) #s(literal 2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64) (*.f64 a1 #s(literal 2 binary64))) (*.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 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)))) (*.f64 a1 a1)))
(/.f64 #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(literal 2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a1 a1) a1 (*.f64 (*.f64 a1 a1) (*.f64 (/.f64 a2 a1) a2))) (*.f64 (*.f64 a1 a1) a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) a2) #s(literal 1/2 binary64))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
Calls

8 calls:

10.0ms
(cos.f64 th)
10.0ms
a1
8.0ms
th
8.0ms
a2
8.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
67.1%1(*.f64 a2 a2)
67.1%1(*.f64 a1 a1)
75.9%2(cos.f64 th)
75.9%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
77.0%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)))
67.1%1a1
67.1%1a2
68.8%2th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes27.0ms (0.8%)

Memory
-7.0MiB live, 39.5MiB allocated; 2ms collecting garbage
Accuracy

Total -36.1b remaining (-171.5%)

Threshold costs -36.1b (-171.5%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1/2 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)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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 #s(approx (* a2 (cos th)) a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 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 (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #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
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
67.1%1(*.f64 a2 a2)
67.1%1(*.f64 a1 a1)
67.1%1a1
67.1%1a2
67.1%1th
67.1%1(cos.f64 th)
67.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
67.1%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.21367700459303e-149
-3.1641356391855474e-181
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify45.0ms (1.4%)

Memory
-6.9MiB live, 41.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056176
1123176
2388158
31485158
44311158
Stop Event
1×node limit
Calls
Call 1
Inputs
#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))))
(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 -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) #s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
Outputs
#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))))
(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 -4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) #s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))

derivations181.0ms (5.5%)

Memory
12.6MiB live, 104.5MiB allocated; 5ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 182 to 59 computations (67.6% saved)

preprocess51.0ms (1.5%)

Memory
-12.0MiB live, 79.8MiB allocated; 15ms collecting garbage
Remove

(abs th)

Compiler

Compiled 864 to 464 computations (46.3% saved)

end0.0ms (0%)

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

Profiling

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