Migdal et al, Equation (64)

Time bar (total: 6.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

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

Compiled 21 to 14 computations (33.3% saved)

sample1.2s (18.3%)

Memory
22.1MiB live, 1 582.1MiB allocated; 264ms collecting garbage
Samples
903.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 636.0ms
ival-mult: 244.0ms (38.4% of total)
ival-cos: 206.0ms (32.4% of total)
ival-div: 81.0ms (12.7% of total)
ival-sqrt: 56.0ms (8.8% of total)
ival-add: 38.0ms (6% of total)
exact: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain150.0ms (2.2%)

Memory
18.6MiB live, 254.1MiB allocated; 20ms 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
54.0ms512×0valid
Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-cos: 13.0ms (36.6% of total)
ival-mult: 12.0ms (33.8% of total)
ival-sqrt: 4.0ms (11.3% of total)
ival-div: 3.0ms (8.4% of total)
ival-add: 2.0ms (5.6% of total)
ival-true: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess195.0ms (2.9%)

Memory
-9.6MiB live, 181.7MiB allocated; 28ms 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
0810013
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 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
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
1.0MiB live, 1.0MiB 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)

series24.0ms (0.4%)

Memory
-2.7MiB live, 40.4MiB allocated; 8ms 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
7.0ms
a2
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
4.0ms
th
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
3.0ms
a1
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms
th
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms
th
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)

rewrite161.0ms (2.4%)

Memory
10.5MiB live, 243.9MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581016
0172890
1999852
08444836
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
46 → 141
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))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (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 (+.f64 (*.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 (+.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (*.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) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.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 (*.f64 (neg.f64 a2) a2) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (*.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 (*.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 (ratio-square-sum.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 (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))))
(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))) (+.f64 (*.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 (+.f64 (ratio-of-squares.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 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (+.f64 (*.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)) (+.f64 (*.f64 (/.f64 (+.f64 (*.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)) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (*.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 #s(literal 1/2 binary64) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (*.f64 th th)) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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 (-.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) #s(literal -1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 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) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal -1 binary64)))
#s(approx (cos th) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) th) th) #s(literal -1 binary64)))
#s(approx (cos th) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) #s(literal -1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal -1 binary64)))
#s(approx th th)
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (+.f64 (*.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)) (+.f64 (*.f64 (/.f64 (+.f64 (*.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)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (*.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 #s(literal 1/2 binary64) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (*.f64 th th)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) (cos.f64 th))

eval92.0ms (1.4%)

Memory
10.7MiB live, 162.4MiB allocated; 13ms collecting garbage
Samples
44.0ms1 156×0valid
10.0ms124×0invalid
Compiler

Compiled 4 584 to 614 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 15.0ms (60.9% of total)
ival-div: 7.0ms (28.4% of total)
ival-add: 1.0ms (4.1% of total)
ival-true: 1.0ms (4.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

prune93.0ms (1.4%)

Memory
-30.1MiB live, 160.8MiB allocated; 12ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New16312175
Fresh000
Picked101
Done000
Total16412176
Accuracy
100.0%
Counts
176 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
99.6%
(/.f64 (+.f64 (*.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 (*.f64 (cos.f64 th) (+.f64 (*.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)))
99.6%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
64.8%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
▶64.7%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
▶64.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
30.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
57.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
▶99.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
▶99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
Samples
59.0ms1 536×0valid
Compiler

Compiled 640 to 430 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 21.0ms (67.5% of total)
ival-div: 8.0ms (25.7% of total)
ival-true: 1.0ms (3.2% of total)
ival-assert: 1.0ms (3.2% of total)
adjust: 0.0ms (0% of total)

series73.0ms (1.1%)

Memory
-19.1MiB live, 88.0MiB allocated; 33ms collecting garbage
Counts
34 → 117
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
th
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(*.f64 a2 a2)
(*.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 (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 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))
(*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))
(ratio-of-squares.f64 a1 a2)
#s(literal 1 binary64)
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 1))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ (* a1 a1) (* a2 a2)) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx a2 #s(hole binary64 a2))
#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 (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a2 2))))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (* a2 a2) (* (pow 2 1/4) (pow 2 1/4))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (+ (* (pow 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 (* (* (* (cos th) a2) a2) (sqrt 2)) #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) a2) a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* 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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
a2
@0
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (* 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (* a1 a1) (* a2 a2)) 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)) (/ (* a2 a2) (* (pow 2 1/4) (pow 2 1/4))) (pow 2 1/4) 1/4)
5.0ms
a1
@inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (* 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (* a1 a1) (* a2 a2)) 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)) (/ (* a2 a2) (* (pow 2 1/4) (pow 2 1/4))) (pow 2 1/4) 1/4)
5.0ms
th
@inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (* 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (* a1 a1) (* a2 a2)) 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)) (/ (* a2 a2) (* (pow 2 1/4) (pow 2 1/4))) (pow 2 1/4) 1/4)
5.0ms
a1
@0
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (* 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (* a1 a1) (* a2 a2)) 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)) (/ (* a2 a2) (* (pow 2 1/4) (pow 2 1/4))) (pow 2 1/4) 1/4)
5.0ms
th
@-inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (* (* (sqrt 2) a1) a1) (cos th)) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (* 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (* a1 a1) (* a2 a2)) 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)) (/ (* a2 a2) (* (pow 2 1/4) (pow 2 1/4))) (pow 2 1/4) 1/4)

rewrite208.0ms (3.1%)

Memory
39.8MiB live, 224.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04634106
05123647
128953582
081793567
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
151 → 453
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
th
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(*.f64 a2 a2)
(*.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 (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 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))
(*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))
(ratio-of-squares.f64 a1 a2)
#s(literal 1 binary64)
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 1))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ (* a1 a1) (* a2 a2)) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx a2 #s(hole binary64 a2))
#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 (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a2 2))))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (* a2 a2) (* (pow 2 1/4) (pow 2 1/4))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (+ (* (pow 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 (* (* (* (cos th) a2) a2) (sqrt 2)) #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) a2) a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* 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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
Outputs
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (cos.f64 th)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))))
(-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
a2
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(pow.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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) (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))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(pow.f64 (*.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) a1) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (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 (pow.f64 (ratio-of-squares.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 (*.f64 a1 a1) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (*.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 (+.f64 (*.f64 (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 a1 a1))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (pow.f64 (ratio-of-squares.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #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 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 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (/.f64 (*.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (ratio-of-squares.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(+.f64 (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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)))))
(-.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 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 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 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (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)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2)
(*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)) (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2))) (*.f64 (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (*.f64 (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2))) (*.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (*.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2))) (*.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (*.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 th)) (*.f64 (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)) #s(literal 1 binary64)) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64))) (cos.f64 th)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (neg.f64 (*.f64 a2 a2))))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 a1 a1) a2) (*.f64 a2 a2)) (pow.f64 a2 #s(literal 3 binary64))) (pow.f64 a2 #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a2 a2)) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 a2 a2))) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 a1 a1) a2) #s(literal 2 binary64)) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 a2 a2)) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 a2 a2)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) a2) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a1 a1) a2))) (*.f64 #s(literal 2 binary64) a2))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a2 a2))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a1 a1)))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a2 a2))))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a2 a2)) (*.f64 #s(literal 2 binary64) (*.f64 a1 a1))) (*.f64 #s(literal 2 binary64) (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)))
(/.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2)))))
(/.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 a2 a2))
(-.f64 (/.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2))) (/.f64 (pow.f64 (ratio-of-squares.f64 a1 a2) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a2 a2)))
(+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a1 a2))
(*.f64 (neg.f64 (/.f64 a1 a2)) (neg.f64 (/.f64 a1 a2)))
(*.f64 (fabs.f64 (/.f64 a1 a2)) (fabs.f64 (/.f64 a1 a2)))
(*.f64 (/.f64 a1 a2) (/.f64 a1 a2))
(*.f64 a1 (/.f64 a1 (*.f64 a2 a2)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a2)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a1)) (fabs.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a1)) (exp.f64 (log.f64 a2)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a1)) (neg.f64 a2))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a1)) (fabs.f64 a2))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a1)) a2)
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (neg.f64 a2)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a1)) (exp.f64 (log.f64 a2)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 a2))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a1)) (fabs.f64 a2))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a1)) a2)
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a1)) (neg.f64 (neg.f64 a2)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a1)) (exp.f64 (log.f64 a2)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a1)) (neg.f64 a2))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 a2))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a1)) a2)
(ratio-of-squares.f64 (exp.f64 (log.f64 a1)) (neg.f64 (neg.f64 a2)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a1)) (neg.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a1)) (fabs.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a2)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a1)) (neg.f64 a2))
(ratio-of-squares.f64 (exp.f64 (log.f64 a1)) (fabs.f64 a2))
(ratio-of-squares.f64 (exp.f64 (log.f64 a1)) a2)
(ratio-of-squares.f64 (neg.f64 a1) (neg.f64 (neg.f64 a2)))
(ratio-of-squares.f64 (neg.f64 a1) (neg.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (neg.f64 a1) (fabs.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (neg.f64 a1) (exp.f64 (log.f64 a2)))
(ratio-of-squares.f64 (neg.f64 a1) (neg.f64 a2))
(ratio-of-squares.f64 (neg.f64 a1) (fabs.f64 a2))
(ratio-of-squares.f64 (neg.f64 a1) a2)
(ratio-of-squares.f64 (fabs.f64 a1) (neg.f64 (neg.f64 a2)))
(ratio-of-squares.f64 (fabs.f64 a1) (neg.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (fabs.f64 a1) (fabs.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 (fabs.f64 a1) (exp.f64 (log.f64 a2)))
(ratio-of-squares.f64 (fabs.f64 a1) (neg.f64 a2))
(ratio-of-squares.f64 (fabs.f64 a1) (fabs.f64 a2))
(ratio-of-squares.f64 (fabs.f64 a1) a2)
(ratio-of-squares.f64 a1 (neg.f64 (neg.f64 a2)))
(ratio-of-squares.f64 a1 (neg.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 a1 (fabs.f64 (fabs.f64 a2)))
(ratio-of-squares.f64 a1 (exp.f64 (log.f64 a2)))
(ratio-of-squares.f64 a1 (neg.f64 a2))
(ratio-of-squares.f64 a1 (fabs.f64 a2))
(ratio-of-squares.f64 a1 a2)
(pow.f64 (/.f64 a1 a2) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 a1 a1) a2)) (neg.f64 a2))
(/.f64 (neg.f64 (neg.f64 (*.f64 a1 a1))) (neg.f64 (neg.f64 (*.f64 a2 a2))))
(/.f64 (/.f64 (*.f64 a1 a1) a2) a2)
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(exp.f64 (-.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)) (*.f64 (log.f64 a2) #s(literal 2 binary64))))
#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 #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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)))) #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))) (/.f64 (pow.f64 #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))))
(+.f64 #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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)))) #s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 a1 a1) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (/.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (neg.f64 (/.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (fabs.f64 (/.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (fabs.f64 (/.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (/.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (/.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(ratio-of-squares.f64 (neg.f64 a2) (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(ratio-of-squares.f64 (neg.f64 a2) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(ratio-of-squares.f64 (neg.f64 a2) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(ratio-of-squares.f64 (neg.f64 a2) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(ratio-of-squares.f64 (fabs.f64 a2) (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(ratio-of-squares.f64 (fabs.f64 a2) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(ratio-of-squares.f64 (fabs.f64 a2) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(ratio-of-squares.f64 (fabs.f64 a2) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(ratio-of-squares.f64 a2 (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(ratio-of-squares.f64 a2 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(ratio-of-squares.f64 a2 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(pow.f64 (/.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(literal 1/4 binary64)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (sqrt 2) a1) a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
#s(approx (* (sqrt 2) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
#s(approx a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (+.f64 (*.f64 (ratio-of-squares.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) #s(literal 1 binary64))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (/ (* a1 a1) (* a2 a2)) (ratio-of-squares.f64 a1 a2))
#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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (*.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (*.f64 (ratio-of-squares.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 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 a1 a1)))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) (ratio-of-squares.f64 a1 a2))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a2 #s(literal -2 binary64)) (*.f64 a1 a1))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (cos th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a2) a2))
#s(approx (* (cos th) a2) (*.f64 (cos.f64 th) a2))
#s(approx a2 a2)
#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 (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (+ (/ (* a1 a1) (* a2 a2)) 1) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 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) (* (pow 2 1/4) (pow 2 1/4))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a2 a2)))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 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 (*.f64 (ratio-of-squares.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (*.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (*.f64 th th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th)) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (*.f64 th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) #s(literal 1/2 binary64))) (*.f64 th th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) (+.f64 (*.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 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (cos th) a2) a2) (sqrt 2)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2))
#s(approx (* (* (cos th) a2) a2) (+.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (*.f64 th th)) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 a2 a2))) (*.f64 th th)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (*.f64 th th)) (*.f64 a2 a2)))
#s(approx (* (cos th) a2) a2)
#s(approx (* (cos th) a2) (+.f64 (*.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/2 binary64)) a2))
#s(approx (* (cos th) a2) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a2) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 th th) a2))) (*.f64 th th)) a2))
#s(approx (* (cos th) a2) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/720 binary64)) (*.f64 #s(literal -1/24 binary64) a2)) (*.f64 th th)) (*.f64 #s(literal -1/2 binary64) a2)) (*.f64 th th)) a2))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64)))
#s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (*.f64 th th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (* (* (* (sqrt 2) a1) a1) (cos th)) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (*.f64 th th)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (*.f64 th th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (/.f64 (+.f64 (*.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))) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 (*.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 #s(literal -1/2 binary64) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) (*.f64 th th)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 th th)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2))) (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (*.f64 (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1/2 binary64))) (*.f64 th th)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th th) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (+.f64 (*.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)) (+.f64 (*.f64 (/.f64 (+.f64 (*.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)) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (*.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 #s(literal -1/2 binary64) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) (*.f64 th th)) (ratio-of-squares.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (/.f64 (+.f64 (*.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))) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 (*.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 #s(literal -1/2 binary64) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) (*.f64 th th)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (cos th) (cos.f64 th))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (* a2 a2)) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (/ (* a1 a1) (* a2 a2)) 1) (/ (cos th) (sqrt 2))) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))

eval1.4s (21.5%)

Memory
-4.4MiB live, 2 225.1MiB allocated; 308ms collecting garbage
Samples
1.0s23 552×0valid
Compiler

Compiled 24 598 to 2 564 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 536.0ms
ival-mult: 379.0ms (70.8% of total)
ival-div: 132.0ms (24.6% of total)
ival-true: 12.0ms (2.2% of total)
ival-assert: 8.0ms (1.5% of total)
adjust: 5.0ms (0.9% of total)

prune82.0ms (1.2%)

Memory
-6.0MiB live, 142.4MiB allocated; 13ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New67714691
Fresh617
Picked415
Done000
Total68716703
Accuracy
100.0%
Counts
703 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (+.f64 (*.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%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
▶64.8%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
99.2%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
64.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.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))))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
38.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
64.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶14.7%
#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))))
▶30.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
✓99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
58.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
▶60.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
64.3%
#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)))))
38.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
Samples
38.0ms1 024×0valid
Compiler

Compiled 1 097 to 673 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 13.0ms (66% of total)
ival-div: 6.0ms (30.4% of total)
ival-true: 1.0ms (5.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.8%)

Memory
36.6MiB live, 82.5MiB allocated; 6ms collecting garbage
Counts
38 → 139
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.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 (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 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a2 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) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (cos th) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 th th))
#s(literal -1/2 binary64)
(*.f64 th th)
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 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) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* 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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a2 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (* -1/2 (/ (pow th 2) (sqrt 2)))))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a1 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (* (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) #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 (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (* -1/2 (/ (pow th 2) (sqrt 2)))))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (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) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (* (* (cos th) a1) a1) #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 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* -1/2 (* th th)) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
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) (sqrt 2)) (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) (* -1/2 (* th th)) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
5.0ms
a1
@0
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) (* -1/2 (* th th)) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
5.0ms
a1
@inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) (* -1/2 (* th th)) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
4.0ms
th
@inf
((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) (* -1/2 (* th th)) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
4.0ms
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) (sqrt 2)) (* (* (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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) (* -1/2 (* th th)) -1/2 (* th th) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))

rewrite168.0ms (2.5%)

Memory
1.4MiB live, 241.0MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04975053
05524647
129814630
081494557
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
177 → 340
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.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 (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 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a2 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) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (cos th) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 th th))
#s(literal -1/2 binary64)
(*.f64 th th)
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 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) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* 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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a2 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (* -1/2 (/ (pow th 2) (sqrt 2)))))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a1 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (* (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) #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 (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (* -1/2 (/ (pow th 2) (sqrt 2)))))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (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) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (* (* (cos th) a1) a1) #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 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* -1/2 (* th th)) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
Outputs
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #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 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) #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 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #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 (*.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 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (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 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #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 (*.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 (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #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 (*.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 (*.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 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #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 (*.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 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.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 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1))
(*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.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))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
a1
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(*.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(/.f64 (+.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(-.f64 (*.f64 a1 a1) (*.f64 (neg.f64 a2) a2))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(*.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))))
#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) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 th th)))
(+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) th) th)
(*.f64 (*.f64 th th) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 th 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 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th)
(*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 th th))
(*.f64 (*.f64 th th) (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)))
(+.f64 (*.f64 (*.f64 th th) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (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 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (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 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#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)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#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))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/2 binary64)))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+.f64 (*.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 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* 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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 th a1) #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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#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 (+.f64 (*.f64 a1 a1) (*.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 #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) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 1/2 binary64)))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 a1 a1)) (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 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (ratio-of-squares.f64 (*.f64 a2 th) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (*.f64 (/.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (ratio-of-squares.f64 (*.f64 a2 th) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (-.f64 (*.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 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 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) a2) a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
#s(approx (* (sqrt 2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
#s(approx a2 a2)
#s(approx (* a2 a2) (*.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 (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 th a1) #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 (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))) (/.f64 (*.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 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 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 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 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 (*.f64 (ratio-of-squares.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (ratio-of-squares.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a2 a2)))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (ratio-of-squares.f64 (*.f64 a1 th) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (/.f64 (ratio-of-squares.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a2 a2)))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (ratio-of-squares.f64 (*.f64 a1 th) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2)))
#s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (-.f64 (*.f64 (/.f64 (ratio-of-squares.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (ratio-of-squares.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.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) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.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 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th)) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.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) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 th th)) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.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))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (+.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (+.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (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))) (+.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th))))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal -1/2 binary64))) (*.f64 th th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (* (* (* (cos th) a1) a1) (sqrt 2)) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (*.f64 th th)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal -1/2 binary64))) (*.f64 th th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
#s(approx (* (* (cos th) a1) a1) (*.f64 a1 a1))
#s(approx (* (* (cos th) a1) a1) (+.f64 (*.f64 (pow.f64 (*.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 th a1) #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th)) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (*.f64 th a1) #s(literal 2 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) (+.f64 (*.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64)) a1))
#s(approx (* (cos th) a1) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a1) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 th th) a1))) (*.f64 th th)) a1))
#s(approx (* (cos th) a1) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal -1/2 binary64))) (*.f64 th th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (*.f64 th th)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal -1/2 binary64))) (*.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 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) th) th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th)) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 th th)) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 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 (*.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 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (cos th) (sqrt 2)) (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (+.f64 (*.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)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 th th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* th th)) 1) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* -1/2 (* th th)) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 th th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (*.f64 (/.f64 (*.f64 (*.f64 th th) (+.f64 (*.f64 a1 a1) (*.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) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (cos th) (cos.f64 th))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (-.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 th th)))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 th th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* th th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (+.f64 (+.f64 (/.f64 (ratio-of-squares.f64 a2 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (ratio-of-squares.f64 a1 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th)))

eval197.0ms (2.9%)

Memory
-34.0MiB live, 207.0MiB allocated; 27ms collecting garbage
Samples
92.0ms1 473×0valid
3.0ms63×0invalid
Compiler

Compiled 25 327 to 2 262 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 20.0ms (65.8% of total)
ival-div: 9.0ms (29.6% of total)
ival-true: 1.0ms (3.3% of total)
ival-assert: 1.0ms (3.3% of total)
adjust: 0.0ms (0% of total)

prune93.0ms (1.4%)

Memory
5.7MiB live, 150.6MiB allocated; 12ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New5698577
Fresh1910
Picked325
Done011
Total57320593
Accuracy
100.0%
Counts
593 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (+.f64 (*.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))
▶99.6%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
✓64.8%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
▶99.2%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
64.4%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
▶14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
64.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.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))))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
▶60.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
38.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
64.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓14.7%
#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))))
51.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 #s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
✓99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
58.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
18.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
64.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
60.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
▶38.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
Samples
46.0ms1 024×0valid
Compiler

Compiled 1 391 to 867 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 21.0ms (74.7% of total)
ival-div: 6.0ms (21.3% of total)
ival-true: 1.0ms (3.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.7%)

Memory
10.3MiB live, 56.5MiB allocated; 3ms collecting garbage
Counts
37 → 114
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 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
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))
(ratio-of-squares.f64 a2 a1)
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 th th) #s(literal -1/2 binary64))
(*.f64 th th)
#s(literal -1/2 binary64)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.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))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 2))))
#s(approx (+ (* (/ (cos th) (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)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ (* a2 a2) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (+ (* (/ (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)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (+ (/ (* a2 a2) (* a1 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 a2) (* a1 a1)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(hole binary64 1))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (* a2 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 (* (* a2 a2) (cos th)) #s(hole binary64 (* (pow a2 2) (cos th))))
#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 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (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)) 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 a2) (* a1 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 a2) (* a1 a1)) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (* 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 (+ (* (* 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 (* (* 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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (* 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
11.0ms
a2
@-inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) (* a1 a1) a1 (* a2 a2) a2 1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (+ (/ (* a2 a2) (* a1 a1)) 1) (/ (* a2 a2) (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)) (cos th) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)))
5.0ms
a2
@inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) (* a1 a1) a1 (* a2 a2) a2 1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (+ (/ (* a2 a2) (* a1 a1)) 1) (/ (* a2 a2) (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)) (cos th) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)))
4.0ms
a2
@0
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) (* a1 a1) a1 (* a2 a2) a2 1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (+ (/ (* a2 a2) (* a1 a1)) 1) (/ (* a2 a2) (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)) (cos th) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)))
4.0ms
th
@inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) (* a1 a1) a1 (* a2 a2) a2 1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (+ (/ (* a2 a2) (* a1 a1)) 1) (/ (* a2 a2) (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)) (cos th) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)))
4.0ms
th
@-inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) (* a1 a1) a1 (* a2 a2) a2 1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2) a1) a1) (* (sqrt 2) a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (+ (/ (* a2 a2) (* a1 a1)) 1) (/ (* a2 a2) (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a2 a2) (cos th)) (cos th) (+ (* (* th th) -1/2) 1) (* (* th th) -1/2) (* th th) -1/2 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (* 1/2 (* a2 a2)))

rewrite218.0ms (3.3%)

Memory
20.4MiB live, 202.3MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04313724
04713438
125683402
0102463389
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
151 → 405
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 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
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))
(ratio-of-squares.f64 a2 a1)
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 th th) #s(literal -1/2 binary64))
(*.f64 th th)
#s(literal -1/2 binary64)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.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(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a1) a1) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) a1) #s(hole binary64 (* a1 (sqrt 2))))
#s(approx (+ (* (/ (cos th) (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)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ (* a2 a2) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (+ (* (/ (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)) 1) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (+ (/ (* a2 a2) (* a1 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 a2) (* a1 a1)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(hole binary64 1))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (* a2 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 (* (* a2 a2) (cos th)) #s(hole binary64 (* (pow a2 2) (cos th))))
#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 (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (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)) 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 a2) (* a1 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 a2) (* a1 a1)) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (* 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 (+ (* (* 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 (* (* 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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (* 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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))
(/.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 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))))
(/.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 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))))))
(-.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 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 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)
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
(/.f64 (neg.f64 (-.f64 (pow.f64 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)))))
(-.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 a1 a1) (*.f64 (neg.f64 a2) a2))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (/.f64 (pow.f64 a1 #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 (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)) (+.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 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(+.f64 (*.f64 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))))
a1
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))
a2
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a1 a1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a1 a1)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a1 a1)) (*.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (ratio-of-squares.f64 a2 a1) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a1 a1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a1 a1)) (*.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64))) (+.f64 (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (ratio-of-squares.f64 a2 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (ratio-of-squares.f64 a2 a1))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a2 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (/.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))))
(+.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (neg.f64 (*.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1))))))
(/.f64 (+.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) a1))) (*.f64 (*.f64 a1 a1) a1))
(/.f64 (+.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 a2 a2) a1) #s(literal 2 binary64)) (*.f64 a1 #s(literal 2 binary64))) (*.f64 a1 #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 a1 a1)) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 a1 a1)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 a2 a2) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) a1) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a2 a2) a1))) (*.f64 #s(literal 2 binary64) a1))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a1 a1))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a2 a2)))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a1 a1))))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a1 a1)) (*.f64 #s(literal 2 binary64) (*.f64 a2 a2))) (*.f64 #s(literal 2 binary64) (*.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)))
(/.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)))))
(/.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 a1 a1))
(-.f64 (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (-.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1))) (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1))))
(-.f64 (ratio-of-squares.f64 a2 a1) (/.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a2) a2) (*.f64 a1 a1)))
(+.f64 (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))))))
(+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1)))) (/.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 a2 a1) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1))))))
(+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (ratio-of-squares.f64 a2 a1))
(*.f64 (/.f64 (neg.f64 a2) (fabs.f64 a1)) (/.f64 (neg.f64 a2) (fabs.f64 a1)))
(*.f64 (/.f64 (fabs.f64 a2) (neg.f64 a1)) (/.f64 (fabs.f64 a2) (neg.f64 a1)))
(*.f64 (/.f64 (fabs.f64 a2) (fabs.f64 a1)) (/.f64 (fabs.f64 a2) (fabs.f64 a1)))
(*.f64 (/.f64 a2 (neg.f64 a1)) (/.f64 a2 (neg.f64 a1)))
(*.f64 (/.f64 a2 (fabs.f64 a1)) (/.f64 a2 (fabs.f64 a1)))
(*.f64 (/.f64 (neg.f64 a2) a1) (/.f64 (neg.f64 a2) a1))
(*.f64 (/.f64 (fabs.f64 a2) a1) (/.f64 (fabs.f64 a2) a1))
(*.f64 (neg.f64 (/.f64 a2 a1)) (neg.f64 (/.f64 a2 a1)))
(*.f64 (fabs.f64 (/.f64 a2 a1)) (fabs.f64 (/.f64 a2 a1)))
(*.f64 (/.f64 a2 a1) (/.f64 a2 a1))
(*.f64 a2 (/.f64 a2 (*.f64 a1 a1)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a1)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (fabs.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (exp.f64 (log.f64 a1)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (neg.f64 a1))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) (fabs.f64 a1))
(ratio-of-squares.f64 (neg.f64 (neg.f64 a2)) a1)
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (neg.f64 a1)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (exp.f64 (log.f64 a1)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 a1))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) (fabs.f64 a1))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 a2)) a1)
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (neg.f64 (neg.f64 a1)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (exp.f64 (log.f64 a1)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (neg.f64 a1))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 a1))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a2)) a1)
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (neg.f64 (neg.f64 a1)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (neg.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (fabs.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a1)))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (neg.f64 a1))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) (fabs.f64 a1))
(ratio-of-squares.f64 (exp.f64 (log.f64 a2)) a1)
(ratio-of-squares.f64 (neg.f64 a2) (neg.f64 (neg.f64 a1)))
(ratio-of-squares.f64 (neg.f64 a2) (neg.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (neg.f64 a2) (fabs.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (neg.f64 a2) (exp.f64 (log.f64 a1)))
(ratio-of-squares.f64 (neg.f64 a2) (neg.f64 a1))
(ratio-of-squares.f64 (neg.f64 a2) (fabs.f64 a1))
(ratio-of-squares.f64 (neg.f64 a2) a1)
(ratio-of-squares.f64 (fabs.f64 a2) (neg.f64 (neg.f64 a1)))
(ratio-of-squares.f64 (fabs.f64 a2) (neg.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (fabs.f64 a2) (fabs.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 (fabs.f64 a2) (exp.f64 (log.f64 a1)))
(ratio-of-squares.f64 (fabs.f64 a2) (neg.f64 a1))
(ratio-of-squares.f64 (fabs.f64 a2) (fabs.f64 a1))
(ratio-of-squares.f64 (fabs.f64 a2) a1)
(ratio-of-squares.f64 a2 (neg.f64 (neg.f64 a1)))
(ratio-of-squares.f64 a2 (neg.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 a2 (fabs.f64 (fabs.f64 a1)))
(ratio-of-squares.f64 a2 (exp.f64 (log.f64 a1)))
(ratio-of-squares.f64 a2 (neg.f64 a1))
(ratio-of-squares.f64 a2 (fabs.f64 a1))
(ratio-of-squares.f64 a2 a1)
(pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 a2 a2) a1)) (neg.f64 a1))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (*.f64 a1 a1))))
(/.f64 (/.f64 (*.f64 a2 a2) a1) a1)
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (*.f64 a1 a1)))
(/.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(exp.f64 (-.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)) (*.f64 (log.f64 a1) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 a2) #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 a2 a2))
(*.f64 a2 (*.f64 a2 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 th th)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
(*.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) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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 (*.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(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) a1) a1) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (* (sqrt 2) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (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))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (/.f64 (ratio-of-squares.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (/.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)))
#s(approx (/ (* a2 a2) (* a1 a1)) (ratio-of-squares.f64 a2 a1))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a1 a1)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1/2 binary64)))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (/.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(literal 1 binary64))
#s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 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 (* (* a2 a2) (cos th)) (*.f64 (*.f64 a2 (cos.f64 th)) a2))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* 1/2 (* a2 a2)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a2 a2)))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a2 a2)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (* (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (/ (+ (/ (* a2 a2) (* a1 a1)) 1) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (/ (* a2 a2) (* a1 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 a2) (* a1 a1)) 1) (+.f64 (*.f64 (pow.f64 a1 #s(literal -2 binary64)) (*.f64 a2 a2)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (*.f64 th th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (*.f64 th th)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))) (*.f64 th th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (+.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 th th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (cos th)) (+.f64 (*.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)) (+.f64 (*.f64 (+.f64 (*.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)) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (* a2 a2) (cos th)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (* a2 a2) (cos th)) (sqrt 2)) (/.f64 (+.f64 (*.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)) (+.f64 (*.f64 (/.f64 (+.f64 (*.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)) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 (*.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)) (+.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 a2 a2)))
#s(approx (* (* a2 a2) (cos th)) (+.f64 (*.f64 (+.f64 (*.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)) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.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 (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* th th) -1/2) 1) (+.f64 (*.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 (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal -1/4 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)))))
#s(approx (* (* 1/2 (* a2 a2)) (* (sqrt 2) (cos th))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/1440 binary64))) (*.f64 th th)) (*.f64 (*.f64 #s(literal -1/4 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)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (* (sqrt 2) (cos th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
#s(approx (cos th) (cos.f64 th))
#s(approx (+ (* (* 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)))

eval806.0ms (12%)

Memory
-44.1MiB live, 1 363.3MiB allocated; 172ms collecting garbage
Samples
547.0ms13 018×0valid
12.0ms294×0invalid
Compiler

Compiled 24 374 to 2 441 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 296.0ms
ival-mult: 202.0ms (68.2% of total)
ival-div: 77.0ms (26% of total)
ival-true: 7.0ms (2.4% of total)
ival-assert: 5.0ms (1.7% of total)
adjust: 3.0ms (1% of total)
ival-add: 2.0ms (0.7% of total)

prune129.0ms (1.9%)

Memory
22.2MiB live, 260.3MiB allocated; 15ms collecting garbage
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New50315518
Fresh4812
Picked325
Done123
Total51127538
Accuracy
100.0%
Counts
538 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
✓99.6%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
✓64.8%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
59.0%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))))))
14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) a1) a1)) #s(literal 1/2 binary64)))
64.4%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
✓14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
64.4%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
64.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.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))))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
18.3%
#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))))
60.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
38.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
64.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓14.7%
#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))))
51.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 #s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
64.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
60.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
38.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
38.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 (ratio-of-squares.f64 a2 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
26.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
30.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 a2 (/.f64 a2 (*.f64 a1 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
37.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
14.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
Samples
59.0ms1 536×0valid
Compiler

Compiled 2 953 to 953 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 22.0ms (69.4% of total)
ival-div: 8.0ms (25.2% of total)
ival-true: 1.0ms (3.2% of total)
ival-assert: 1.0ms (3.2% of total)
adjust: 0.0ms (0% of total)

regimes110.0ms (1.6%)

Memory
20.2MiB live, 210.6MiB allocated; 23ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 a2 (/.f64 a2 (*.f64 a1 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (+.f64 (*.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 #s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 (*.f64 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 (*.f64 (ratio-of-squares.f64 a2 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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 (*.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 (*.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a2 a2)))
Outputs
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
Calls

8 calls:

21.0ms
th
15.0ms
a1
13.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
12.0ms
a2
12.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.7%1(*.f64 a2 a2)
99.7%1(*.f64 a1 a1)
99.7%1(cos.f64 th)
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1a1
99.7%1a2
99.7%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes137.0ms (2%)

Memory
-28.8MiB live, 174.4MiB allocated; 9ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 a2 (/.f64 a2 (*.f64 a1 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (+.f64 (*.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 #s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 (*.f64 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 (*.f64 (ratio-of-squares.f64 a2 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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 (*.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))
Outputs
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
Calls

8 calls:

52.0ms
(*.f64 a1 a1)
14.0ms
th
13.0ms
a1
12.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
12.0ms
a2
Results
AccuracySegmentsBranch
99.6%1(*.f64 a2 a2)
99.6%1(*.f64 a1 a1)
99.6%1(cos.f64 th)
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%1a1
99.6%1a2
99.6%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes107.0ms (1.6%)

Memory
6.8MiB live, 194.3MiB allocated; 10ms collecting garbage
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 a2 (/.f64 a2 (*.f64 a1 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (+.f64 (*.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 #s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 (*.f64 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 (*.f64 (ratio-of-squares.f64 a2 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (ratio-of-squares.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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)))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
Calls

8 calls:

25.0ms
a2
13.0ms
(cos.f64 th)
12.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
11.0ms
a1
11.0ms
th
Results
AccuracySegmentsBranch
99.6%1(*.f64 a2 a2)
99.6%1(*.f64 a1 a1)
99.6%1(cos.f64 th)
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%1a1
99.6%1a2
99.6%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes80.0ms (1.2%)

Memory
9.3MiB live, 155.5MiB allocated; 7ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 a2 (/.f64 a2 (*.f64 a1 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (+.f64 (*.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 #s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 (*.f64 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 (*.f64 (ratio-of-squares.f64 a2 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
Calls

8 calls:

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

Compiled 35 to 40 computations (-14.3% saved)

regimes72.0ms (1.1%)

Memory
1.6MiB live, 144.5MiB allocated; 9ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 a2 (/.f64 a2 (*.f64 a1 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (+.f64 (*.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 #s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 (*.f64 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 (*.f64 (ratio-of-squares.f64 a2 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Calls

8 calls:

10.0ms
(*.f64 a1 a1)
10.0ms
a2
9.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
9.0ms
a1
8.0ms
th
Results
AccuracySegmentsBranch
99.3%1(cos.f64 th)
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.3%1th
99.3%1(*.f64 a2 a2)
99.3%1(*.f64 a1 a1)
99.3%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.3%1a1
99.3%1a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes81.0ms (1.2%)

Memory
-20.4MiB live, 158.2MiB allocated; 21ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 a2 (/.f64 a2 (*.f64 a1 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (+.f64 (*.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 #s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 (*.f64 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 (*.f64 (ratio-of-squares.f64 a2 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Calls

8 calls:

16.0ms
th
12.0ms
(*.f64 a1 a1)
9.0ms
a2
9.0ms
(cos.f64 th)
9.0ms
a1
Results
AccuracySegmentsBranch
99.2%1(*.f64 a1 a1)
99.2%1a1
99.2%1th
99.2%1(*.f64 a2 a2)
99.2%1(cos.f64 th)
99.2%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.2%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.2%1a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes96.0ms (1.4%)

Memory
40.2MiB live, 177.1MiB allocated; 37ms collecting garbage
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 a2 (*.f64 a2 #s(approx (cos th) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 a2 (/.f64 a2 (*.f64 a1 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (+.f64 (*.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 #s(approx (* -1/2 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 (*.f64 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 (*.f64 (ratio-of-squares.f64 a2 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) a1) a1)) #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) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
Calls

8 calls:

30.0ms
(*.f64 a1 a1)
15.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
10.0ms
a1
8.0ms
a2
8.0ms
th
Results
AccuracySegmentsBranch
64.8%1th
64.8%1(*.f64 a2 a2)
64.8%1(*.f64 a1 a1)
75.5%2(cos.f64 th)
75.5%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
77.5%2(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
64.8%1a1
68.3%2a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory
-37.8MiB live, 11.2MiB allocated; 5ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (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))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
Calls

1 calls:

4.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
77.5%2(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes20.0ms (0.3%)

Memory
43.2MiB live, 43.2MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 a1)) 1) (ratio-of-squares.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (ratio-of-squares.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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (ratio-of-squares.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
Calls

5 calls:

4.0ms
a2
4.0ms
(cos.f64 th)
4.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
4.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
4.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
64.8%1(*.f64 a2 a2)
64.8%1a2
64.8%1(cos.f64 th)
64.8%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
64.8%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 30 to 30 computations (0% saved)

regimes24.0ms (0.4%)

Memory
3.8MiB live, 50.8MiB allocated; 1ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (/ (* a2 a2) (* a1 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 (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.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
64.4%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
64.4%1(cos.f64 th)
64.4%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
64.4%1th
64.4%1(*.f64 a1 a1)
64.4%1a1
64.4%1(*.f64 a2 a2)
64.4%1a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory
-24.1MiB live, 23.0MiB allocated; 2ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

2.0ms
a2
1.0ms
a1
1.0ms
th
1.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
1.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
14.7%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)))
14.7%1(cos.f64 th)
14.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
14.7%1th
14.7%1(*.f64 a2 a2)
14.7%1(*.f64 a1 a1)
14.7%1a1
14.7%1a2
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
-1.0724534194737978e-109
-7.799804862977476e-113
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0724534194737978e-109
-7.799804862977476e-113
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify52.0ms (0.8%)

Memory
-2.0MiB live, 45.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096474
1163474
2418420
31361420
44349420
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #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 -4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))))
(if (<=.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal -4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
Outputs
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 #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 -4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 a2 (*.f64 a2 (/.f64 #s(approx (cos th) (+.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))))
(if (<=.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal -4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (* (* (sqrt 2) a1) a1) (cos th))) 2) (*.f64 #s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))

derivations385.0ms (5.7%)

Memory
38.1MiB live, 388.3MiB allocated; 132ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 486 to 99 computations (79.6% saved)

preprocess76.0ms (1.1%)

Memory
16.9MiB live, 114.5MiB allocated; 15ms collecting garbage
Remove

(abs th)

Compiler

Compiled 1 304 to 418 computations (67.9% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...