Equirectangular approximation to distance on a great circle

Time bar (total: 9.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 34 to 16 computations (52.9% saved)

sample1.7s (17.2%)

Memory
6.8MiB live, 1 616.6MiB allocated; 258ms collecting garbage
Samples
742.0ms6 450×0valid
490.0ms1 806×1valid
Precisions
Click to see histograms. Total time spent on operations: 855.0ms
ival-hypot: 170.0ms (19.9% of total)
ival-cos: 145.0ms (17% of total)
ival-sub: 137.0ms (16% of total)
ival-mult: 124.0ms (14.5% of total)
ival-div: 111.0ms (13% of total)
adjust: 103.0ms (12% of total)
ival-add: 50.0ms (5.8% of total)
ival-true: 6.0ms (0.7% of total)
exact: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain395.0ms (4%)

Memory
35.6MiB live, 368.4MiB allocated; 63ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1670-0-(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
73122(9.450329373260313e+222 2.5378888769074844e+77 7.438128987246448e+158 2.8676840512510105e-46 3.6500126839664616e+148)0-(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
00-0-(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
00-0-lambda2
00-0-(+.f64 phi1 phi2)
00-0-phi2
00-0-(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
00-0-(-.f64 lambda1 lambda2)
00-0-(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))
00-0-R
00-0-lambda1
00-0-phi1
00-0-(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))
00-0-(-.f64 phi1 phi2)
00-0-(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))sensitivity1950
sqrt.f64(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))oflow-rescue1640
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))overflow121
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))overflow101
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))overflow164
sqrt.f64(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))uflow-rescue30
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))underflow12
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))underflow19
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))underflow3
Confusion
Predicted +Predicted -
+1080
-10939
Precision
0.4976958525345622
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+10800
-109039
Precision?
0.4976958525345622
Recall?
1.0
Freqs
test
numberfreq
039
172
2145
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
131.0ms380×1valid
16.0ms132×0valid
Compiler

Compiled 346 to 55 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult: 24.0ms (22.6% of total)
ival-cos: 24.0ms (22.6% of total)
adjust: 20.0ms (18.8% of total)
ival-hypot: 16.0ms (15% of total)
ival-sub: 8.0ms (7.5% of total)
ival-add: 8.0ms (7.5% of total)
ival-div: 6.0ms (5.6% of total)
ival-true: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess209.0ms (2.1%)

Memory
-27.6MiB live, 122.6MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150701
1503701
21661701
35246701
01732
02832
16032
216332
346332
4126832
5327832
0825416
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
Outputs
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 (hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) R)
Symmetry

(negabs R)

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 32 to 17 computations (46.9% saved)

eval0.0ms (0%)

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

Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.1%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
Compiler

Compiled 32 to 17 computations (46.9% saved)

simplify172.0ms (1.7%)

Memory
-1.7MiB live, 95.9MiB allocated; 6ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
cost-diff0
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
cost-diff1
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
cost-diff15
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017155
028155
160155
2163155
3463155
41268155
53278155
08254122
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
R
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))
(+.f64 phi1 phi2)
phi1
phi2
#s(literal 2 binary64)
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))
(-.f64 phi1 phi2)
Outputs
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 (hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) R)
R
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))
(/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))
(/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))
(+.f64 phi1 phi2)
(+.f64 phi2 phi1)
phi1
phi2
#s(literal 2 binary64)
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))
(*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1))
(-.f64 phi1 phi2)

localize104.0ms (1.1%)

Memory
17.1MiB live, 62.4MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.178066259768442
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
accuracy0.21484375
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
accuracy15.11354764426202
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
accuracy38.65309082083617
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
Samples
83.0ms190×1valid
8.0ms66×0valid
Compiler

Compiled 157 to 19 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
adjust: 31.0ms (42.1% of total)
ival-cos: 13.0ms (17.7% of total)
ival-mult: 12.0ms (16.3% of total)
ival-hypot: 7.0ms (9.5% of total)
ival-sub: 4.0ms (5.4% of total)
ival-add: 4.0ms (5.4% of total)
ival-div: 3.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (0.8%)

Memory
-22.7MiB live, 65.7MiB allocated; 12ms collecting garbage
Counts
6 → 179
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 phi1))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (pow phi2 2)))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (+ (* -2 (/ phi1 phi2)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) (/ (pow phi1 2) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) phi2)) (* 2 phi1)) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))))
Calls

15 calls:

TimeVariablePointExpression
6.0ms
phi1
@-inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
5.0ms
phi2
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
5.0ms
lambda1
@inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
5.0ms
phi1
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
5.0ms
lambda2
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))

simplify277.0ms (2.8%)

Memory
44.0MiB live, 227.0MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107112270
1359412218
0835510432
Stop Event
iter limit
node limit
Counts
179 → 179
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 phi1))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (pow phi2 2)))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (+ (* -2 (/ phi1 phi2)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) (/ (pow phi1 2) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) phi2)) (* 2 phi1)) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) R))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda1 (*.f64 (*.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
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#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 R (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
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#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
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#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
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#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (*.f64 (*.f64 (neg.f64 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
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#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (+ (* lambda2 (+ (* -2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
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#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
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#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal -1/2 binary64))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (-.f64 lambda1 lambda2) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) phi2) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal -1/8 binary64))) phi2)) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (pow phi2 2)))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 phi2 phi2)))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (+ (* -2 (/ phi1 phi2)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) (/ (pow phi1 2) (pow phi2 2))))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 (+.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 phi1 phi1 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 phi2 phi2))) (*.f64 phi2 phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (fma.f64 R (*.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) #s(hole binary64 (* (pow phi2 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) phi2)) (* 2 phi1)) phi2))))))
#s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) phi1 (/.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)) (neg.f64 phi2))) phi2) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 phi2 phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 R) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2) #s(literal -1 binary64) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 R phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 R (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R)))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) #s(hole binary64 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))))
#s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
#s(approx (cos (/ (+ phi1 phi2) 2)) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (cos (/ (+ phi1 phi2) 2)) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) #s(hole binary64 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)))

rewrite127.0ms (1.3%)

Memory
-31.1MiB live, 80.2MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017128
02886
110986
096676
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 206
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
Outputs
(*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (fabs.f64 (-.f64 phi2 phi1)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (-.f64 phi1 phi2))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (-.f64 phi2 phi1)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (-.f64 phi1 phi2))
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (-.f64 phi2 phi1)))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (-.f64 phi1 phi2))
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (fabs.f64 (-.f64 phi2 phi1)))
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (-.f64 phi1 phi2))
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fabs.f64 (-.f64 phi2 phi1)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (-.f64 phi1 phi2))
(hypot.f64 (fabs.f64 (-.f64 phi2 phi1)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(hypot.f64 (fabs.f64 (-.f64 phi2 phi1)) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (fabs.f64 (-.f64 phi2 phi1)) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (fabs.f64 (-.f64 phi2 phi1)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (-.f64 phi2 phi1)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(hypot.f64 (fabs.f64 (-.f64 phi2 phi1)) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (fabs.f64 (-.f64 phi2 phi1)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))))
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (fabs.f64 (-.f64 phi2 phi1)))
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (-.f64 phi1 phi2))
(hypot.f64 (-.f64 phi1 phi2) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(hypot.f64 (-.f64 phi1 phi2) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (-.f64 phi1 phi2) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (-.f64 phi1 phi2) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
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(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))))
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (neg.f64 (-.f64 phi1 phi2))))
(-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (*.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (-.f64 phi2 phi1))))
(-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2)))
(+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))
(*.f64 R (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(*.f64 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) R)
(*.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))
(*.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(*.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(*.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))))
(*.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(*.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (-.f64 lambda1 lambda2))
(*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(*.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(*.f64 (-.f64 lambda1 lambda2) (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64))))
(*.f64 (-.f64 lambda1 lambda2) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)))
(pow.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(neg.f64 (*.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(fabs.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64)))
(fma.f64 (sin.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))
(-.f64 (*.f64 (cos.f64 (/.f64 phi1 #s(literal 2 binary64))) (cos.f64 (/.f64 phi2 #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 phi1 #s(literal 2 binary64))) (sin.f64 (/.f64 phi2 #s(literal 2 binary64)))))
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))

eval63.0ms (0.6%)

Memory
-7.2MiB live, 82.3MiB allocated; 9ms collecting garbage
Compiler

Compiled 20 650 to 2 021 computations (90.2% saved)

prune28.0ms (0.3%)

Memory
38.2MiB live, 38.2MiB allocated; 0ms collecting garbage
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New40027427
Fresh000
Picked101
Done000
Total40127428
Accuracy
97.1%
Counts
428 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (cos.f64 (/.f64 phi1 #s(literal 2 binary64))) (cos.f64 (/.f64 phi2 #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 phi1 #s(literal 2 binary64))) (sin.f64 (/.f64 phi2 #s(literal 2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
47.3%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (/ (+ phi1 phi2) 2)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
54.4%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (/ (+ phi1 phi2) 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
49.3%
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (fma.f64 (neg.f64 phi2) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
36.7%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (fma.f64 (fma.f64 #s(literal -2 binary64) phi1 (fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 phi2 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/6 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) #s(literal 1 binary64)) phi2))) phi2 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))
25.4%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))
24.0%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
25.6%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
57.8%
(*.f64 R (exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
72.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
69.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
54.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
56.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
12.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
23.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
10.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
33.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
33.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
55.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
16.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
37.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2))
9.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
18.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
10.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
56.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
16.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2)))))
Compiler

Compiled 2 504 to 1 378 computations (45% saved)

simplify115.0ms (1.2%)

Memory
-29.9MiB live, 68.5MiB allocated; 10ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
cost-diff0
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
cost-diff7
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
cost-diff0
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
cost-diff0
(*.f64 R lambda2)
cost-diff0
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
cost-diff0
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
cost-diff1
(fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
cost-diff0
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049515
078515
1171515
2477493
31362490
44301490
08195362
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(-.f64 lambda1 lambda2)
lambda1
lambda2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2))
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)
(fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 phi1 phi2)
phi1
phi2
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 R lambda2)
R
lambda2
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
(PI.f64)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
R
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda2)
lambda2
(neg.f64 lambda1)
lambda1
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(-.f64 lambda1 lambda2)
lambda1
lambda2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2))
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))
(/.f64 phi1 phi2)
phi1
phi2
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2))
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 (*.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(*.f64 R lambda2)
(*.f64 lambda2 R)
R
lambda2
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
(fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
(PI.f64)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (-.f64 R (/.f64 (*.f64 lambda2 R) lambda1)) lambda1)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (-.f64 R (/.f64 (*.f64 lambda2 R) lambda1)) lambda1))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
(*.f64 (-.f64 R (/.f64 (*.f64 lambda2 R) lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
R
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
(*.f64 (/.f64 (*.f64 (neg.f64 R) lambda2) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R))
(*.f64 R lambda2)
(*.f64 lambda2 R)
lambda2
(neg.f64 lambda1)
lambda1

localize251.0ms (2.6%)

Memory
-7.3MiB live, 177.1MiB allocated; 19ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy4.586207973508103
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
accuracy6.067338080209387
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
accuracy15.11354764426202
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy52.0390712756773
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
accuracy0.01171875
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
accuracy0.1875
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
accuracy45.775948778556874
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
accuracy56.2906717927713
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
accuracy0.0
(/.f64 phi1 phi2)
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
accuracy9.85400890266634
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)
accuracy27.52019761755506
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
accuracy44.98466734472896
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
accuracy0.00390625
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
accuracy0.14453125
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
accuracy25.256082180970544
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
Samples
183.0ms191×1valid
19.0ms64×0valid
1.0ms3valid
Compiler

Compiled 456 to 41 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-mult: 57.0ms (36.7% of total)
ival-cos: 33.0ms (21.3% of total)
ival-hypot: 22.0ms (14.2% of total)
adjust: 20.0ms (12.9% of total)
ival-add: 9.0ms (5.8% of total)
ival-div: 8.0ms (5.2% of total)
ival-sub: 3.0ms (1.9% of total)
ival-pi: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series129.0ms (1.3%)

Memory
19.1MiB live, 106.1MiB allocated; 12ms collecting garbage
Counts
22 → 255
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
(fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2))
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 R lambda2)
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(/.f64 phi1 phi2)
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))))
#s(approx (* R lambda2) #s(hole binary64 (* R lambda2)))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* R (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* R (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3))))))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (/ (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))) lambda1)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda1 (cos (* -1/2 phi2)))))
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#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* R (cos (* -1/2 (+ phi1 phi2))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
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#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ phi1 phi2)))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 phi2))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 phi2)))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (+ (* 1/2 (* R (* lambda2 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* R (* lambda2 (cos (+ (PI) (* -1/2 phi2))))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (+ (* R (* lambda2 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda2 (* phi1 (cos (+ (PI) (* -1/2 phi2))))))) (* 1/2 (* R (* lambda2 (sin (+ (PI) (* -1/2 phi2)))))))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (+ (* R (* lambda2 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (+ (PI) (* -1/2 phi2)))))) (* phi1 (+ (* -1/8 (* R (* lambda2 (cos (+ (PI) (* -1/2 phi2)))))) (* -1/48 (* R (* lambda2 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))))))))))
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#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 phi2))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
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#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 (* phi1 (- (/ 1 phi1) (/ 1 phi2)))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 phi1)))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 (* -1 (* phi1 (- (/ 1 phi2) (/ 1 phi1))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))))
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#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1)))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi2 (* -1 phi1))))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* -1 (* phi1 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi2)) phi1)))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- lambda1 lambda2)))
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#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (+ (* R (* lambda2 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (+ (PI) (* -1/2 phi1)))))) (* phi2 (+ (* -1/8 (* R (* lambda2 (cos (+ (PI) (* -1/2 phi1)))))) (* -1/48 (* R (* lambda2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (cos (+ (PI) (* -1/2 phi1)))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (+ (cos (+ (PI) (* -1/2 phi1))) (* 1/2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* -1/2 phi1))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* phi2 (+ (* -1/8 (cos (+ (PI) (* -1/2 phi1)))) (* -1/48 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))))))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 phi1))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 1))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 (+ 1 (* -1/8 (pow phi2 2)))))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8)))))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8)))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (+ (PI) (* -1/2 phi1))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* -1/2 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/8 (/ (* R (* lambda2 (* phi2 (cos (* -1/2 phi1))))) lambda1)))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* 1/48 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* (cos (* -1/2 phi2)) (- lambda1 lambda2))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 (cos (* -1/2 phi2))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* -1/2 phi2)))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* phi2 (- (+ (* -1/2 (/ phi1 phi2)) (/ (PI) phi2)) 1/2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi1 (* -1 phi2))))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* -1 (* phi2 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi1)) phi2)))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1))))
Calls

15 calls:

TimeVariablePointExpression
35.0ms
lambda2
@-inf
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (/ phi1 phi2) -1) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (cos (* -1/2 phi2)) (/ phi1 phi2) (+ (* -1/2 (+ phi2 phi1)) (PI)) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)))
9.0ms
lambda1
@inf
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (/ phi1 phi2) -1) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (cos (* -1/2 phi2)) (/ phi1 phi2) (+ (* -1/2 (+ phi2 phi1)) (PI)) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)))
9.0ms
phi2
@-inf
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (/ phi1 phi2) -1) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (cos (* -1/2 phi2)) (/ phi1 phi2) (+ (* -1/2 (+ phi2 phi1)) (PI)) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)))
8.0ms
phi1
@0
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (/ phi1 phi2) -1) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (cos (* -1/2 phi2)) (/ phi1 phi2) (+ (* -1/2 (+ phi2 phi1)) (PI)) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)))
7.0ms
phi2
@0
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (/ phi1 phi2) -1) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (cos (* -1/2 (+ phi2 phi1))) (cos (* -1/2 phi2)) (/ phi1 phi2) (+ (* -1/2 (+ phi2 phi1)) (PI)) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)))

simplify301.0ms (3.1%)

Memory
-14.7MiB live, 232.1MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156914865
1523114659
0861112452
Stop Event
iter limit
node limit
Counts
255 → 255
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))))
#s(approx (* R lambda2) #s(hole binary64 (* R lambda2)))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* R (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* R (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3))))))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (/ (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))) lambda1)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda1 (cos (* -1/2 phi2)))))
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#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* R (cos (* -1/2 (+ phi1 phi2))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
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#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
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#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ phi1 phi2)))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 phi2))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 phi2)))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (+ (* 1/2 (* R (* lambda2 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* R (* lambda2 (cos (+ (PI) (* -1/2 phi2))))))))
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#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))))))
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#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 phi2))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2))))))))
#s(approx (/ phi1 phi2) #s(hole binary64 (/ phi1 phi2)))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (+ (PI) (* -1/2 phi2))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (+ (PI) (+ (* -1/2 phi1) (* -1/2 phi2)))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* -1/2 (/ (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))) lambda1)))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/8 (/ (* R (* lambda2 (* phi1 (cos (* -1/2 phi2))))) lambda1)))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* 1/48 (/ (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))) lambda1)) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 (* -1 (/ phi1 phi2))))
#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 (* phi1 (- (/ 1 phi1) (/ 1 phi2)))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (+ phi1 phi2)))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* -1/2 phi1)))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* phi1 (- (+ (* -1/2 (/ phi2 phi1)) (/ (PI) phi1)) 1/2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 (* -1 (* phi1 (- (/ 1 phi2) (/ 1 phi1))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1)))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi2 (* -1 phi1))))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* -1 (* phi1 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi2)) phi1)))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- lambda1 lambda2)))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)))
#s(approx (+ (* (/ phi1 phi2) -1) 1) #s(hole binary64 (/ (+ phi2 (* -1 phi1)) phi2)))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 phi1)))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (+ (* 1/2 (* R (* lambda2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))) (* R (* lambda2 (cos (+ (PI) (* -1/2 phi1))))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (+ (* R (* lambda2 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda2 (* phi2 (cos (+ (PI) (* -1/2 phi1))))))) (* 1/2 (* R (* lambda2 (sin (+ (PI) (* -1/2 phi1)))))))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (+ (* R (* lambda2 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (+ (PI) (* -1/2 phi1)))))) (* phi2 (+ (* -1/8 (* R (* lambda2 (cos (+ (PI) (* -1/2 phi1)))))) (* -1/48 (* R (* lambda2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (cos (+ (PI) (* -1/2 phi1)))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (+ (cos (+ (PI) (* -1/2 phi1))) (* 1/2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* -1/2 phi1))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* phi2 (+ (* -1/8 (cos (+ (PI) (* -1/2 phi1)))) (* -1/48 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))))))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 phi1))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1))))))))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 1))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 (+ 1 (* -1/8 (pow phi2 2)))))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8)))))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8)))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (+ (PI) (* -1/2 phi1))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* -1/2 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/8 (/ (* R (* lambda2 (* phi2 (cos (* -1/2 phi1))))) lambda1)))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* 1/48 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* (cos (* -1/2 phi2)) (- lambda1 lambda2))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (cos (* -1/2 phi2)) #s(hole binary64 (cos (* -1/2 phi2))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* -1/2 phi2)))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* phi2 (- (+ (* -1/2 (/ phi1 phi2)) (/ (PI) phi2)) 1/2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) #s(hole binary64 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi1 (* -1 phi2))))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* -1 (* phi2 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi1)) phi2)))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) #s(hole binary64 (* R (* lambda2 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))))
#s(approx (* (* R lambda2) (cos (+ (* -1/2 (+ phi2 phi1)) (PI)))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 lambda2 R)))
#s(approx (* R lambda2) #s(hole binary64 (* R lambda2)))
#s(approx (* R lambda2) (*.f64 lambda2 R))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* R (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (*.f64 R lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) (*.f64 (*.f64 lambda2 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* R (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (neg.f64 R) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (neg.f64 (*.f64 R lambda1)) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 lambda2 R) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 R lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (neg.f64 (*.f64 (*.f64 lambda2 R) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 R lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))
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#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))))))))
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#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi1 R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) phi1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) phi1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (*.f64 #s(literal -1/2 binary64) (fma.f64 R (*.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi1))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 phi2 R (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 R (*.f64 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)))))) phi1))) phi1) #s(literal -1 binary64) R)))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)) #s(literal -1/2 binary64) phi2) phi1) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
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#s(approx (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (cos.f64 (fma.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64) (PI.f64))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) R)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) R)) lambda1))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* -1/2 (- phi1 (* -1 phi2))))))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) #s(hole binary64 (* -1 (* phi2 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi1)) phi2)))))))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)) phi2) #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1))))
#s(approx (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)) (*.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) lambda2) lambda1)))

rewrite124.0ms (1.3%)

Memory
10.1MiB live, 102.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049459
078371
1304371
02554331
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
22 → 268
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
(fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2))
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 R lambda2)
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(/.f64 phi1 phi2)
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
Outputs
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)) R)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2))
(*.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 (fabs.f64 phi2)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 phi2 #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (neg.f64 phi2))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (fabs.f64 phi2))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (pow.f64 phi2 #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 phi2))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (fabs.f64 phi2))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (fabs.f64 (fabs.f64 phi2)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (pow.f64 phi2 #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 phi2))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (fabs.f64 phi2))
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)) (pow.f64 phi2 #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)) (neg.f64 phi2))
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)) (fabs.f64 phi2))
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)) phi2)
(hypot.f64 (pow.f64 phi2 #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (pow.f64 phi2 #s(literal 1 binary64)) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (pow.f64 phi2 #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (pow.f64 phi2 #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 phi2 #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (pow.f64 phi2 #s(literal 1 binary64)) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (pow.f64 phi2 #s(literal 1 binary64)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 (fabs.f64 phi2)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (fabs.f64 (fabs.f64 phi2)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (pow.f64 phi2 #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 phi2))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (fabs.f64 phi2))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)
(hypot.f64 (neg.f64 phi2) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 phi2) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 phi2) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)) (*.f64 lambda2 R) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)))
(fma.f64 (*.f64 lambda2 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 lambda2 (*.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 R (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 R (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 R (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)))) (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (*.f64 (neg.f64 (*.f64 lambda2 R)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))))
(-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R))
(-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (*.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
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(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))) lambda1))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))) lambda1)
(*.f64 lambda1 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 2 binary64))) lambda1) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64))) lambda1) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64))))
(/.f64 (*.f64 lambda1 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 2 binary64)))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))))
(/.f64 (*.f64 lambda1 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) lambda1 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) lambda1))
(fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) lambda1 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
(fma.f64 lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (*.f64 lambda1 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))))
(fma.f64 lambda1 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) lambda1) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) lambda1))
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1)) lambda1) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
(+.f64 (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (*.f64 lambda1 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))))
(+.f64 (*.f64 lambda1 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
(fma.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 phi1)) (neg.f64 (neg.f64 phi2)))
(/.f64 (neg.f64 phi1) (neg.f64 phi2))
(/.f64 phi1 phi2)
(neg.f64 (/.f64 (neg.f64 phi1) phi2))
(neg.f64 (/.f64 phi1 (neg.f64 phi2)))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 phi2 phi1) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64)))
(/.f64 (fma.f64 (pow.f64 (+.f64 phi2 phi1) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (+.f64 phi2 phi1) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
(fma.f64 #s(literal -1/2 binary64) phi2 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))
(fma.f64 phi2 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64))))
(-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(+.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/2 binary64) phi1))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64))
(+.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) phi2) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)) (*.f64 lambda2 R))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) (neg.f64 lambda1)))
(*.f64 (*.f64 lambda2 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)))
(*.f64 lambda2 (*.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))))
(*.f64 R (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 lambda1)))
(*.f64 R (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 lambda2 R))) (neg.f64 lambda1))
(/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 lambda2 R)) lambda1)
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 R)) (neg.f64 lambda1))
(neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) lambda1)))

eval107.0ms (1.1%)

Memory
-3.0MiB live, 92.5MiB allocated; 18ms collecting garbage
Compiler

Compiled 35 559 to 2 753 computations (92.3% saved)

prune54.0ms (0.5%)

Memory
20.7MiB live, 67.7MiB allocated; 2ms collecting garbage
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New51230542
Fresh15722
Picked415
Done000
Total53138569
Accuracy
99.5%
Counts
569 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))
24.0%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
25.6%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
57.8%
(*.f64 R (exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
72.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2)))
69.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
67.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
55.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
54.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
12.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
23.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
54.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi2)) phi2)))
26.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (neg.f64 phi1) phi2)) phi2)))
33.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
61.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
56.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
9.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
22.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1)))))
8.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
33.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
18.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
55.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
16.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
16.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (neg.f64 lambda1))) lambda1))
15.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 lambda1))) lambda1))
16.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
16.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
9.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
12.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
8.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))))
19.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
19.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi1)))))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
10.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
56.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
11.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1))
17.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (neg.f64 R) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))) lambda1))
10.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
Compiler

Compiled 3 872 to 2 158 computations (44.3% saved)

simplify130.0ms (1.3%)

Memory
4.8MiB live, 94.0MiB allocated; 9ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)))
cost-diff0
(*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1)
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1))
cost-diff5
(fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
cost-diff0
(*.f64 R lambda1)
cost-diff0
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
cost-diff0
(*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
cost-diff1
(fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64))
cost-diff0
(neg.f64 phi1)
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
cost-diff2
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff3
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff3
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff6
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069678
0108629
1233605
2625560
32142549
46128549
08009421
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
phi1
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2))
(*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)
(fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64))
phi1
(/.f64 #s(literal -1 binary64) phi2)
#s(literal -1 binary64)
phi2
#s(literal 1 binary64)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda1)
R
lambda1
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1))
(*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1)
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)))
(fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))
(neg.f64 R)
R
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 #s(literal 1/2 binary64) phi1)
#s(literal 1/2 binary64)
phi1
lambda2
lambda1
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2))
(hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2)
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 0 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1 binary64)
(-.f64 lambda1 lambda2)
lambda1
lambda2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
phi1
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2))
(*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))
phi1
(/.f64 #s(literal -1 binary64) phi2)
#s(literal -1 binary64)
phi2
#s(literal 1 binary64)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))
(*.f64 R lambda1)
(*.f64 lambda1 R)
R
lambda1
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (fma.f64 (/.f64 (neg.f64 lambda2) lambda1) R R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda1))
(*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1)
(*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (fma.f64 (/.f64 (neg.f64 lambda2) lambda1) R R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda1)
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (fma.f64 (/.f64 (neg.f64 lambda2) lambda1) R R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))
(*.f64 (fma.f64 (/.f64 (neg.f64 lambda2) lambda1) R R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(neg.f64 R)
R
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1)
(*.f64 (/.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
(*.f64 #s(literal 1/2 binary64) phi1)
#s(literal 1/2 binary64)
phi1
lambda2
lambda1
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R)

localize1.7s (17.2%)

Memory
35.4MiB live, 1 403.8MiB allocated; 221ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.417516831992123
(fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))
accuracy4.586207973508103
(*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1)
accuracy26.875470280771097
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)))
accuracy52.0390712756773
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
accuracy0.19140625
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
accuracy15.11354764426202
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
accuracy56.72884592068563
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
accuracy0.0859375
(fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64))
accuracy9.85400890266634
(*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)
accuracy27.52019761755506
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2))
accuracy0.0
(neg.f64 phi1)
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
accuracy45.249473117738745
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2)))
accuracy0.14453125
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2))
accuracy25.256082180970544
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2))
accuracy61.920506293690316
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
Samples
1.6s255×2valid
14.0ms3valid
Compiler

Compiled 549 to 60 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-sin: 1.1s (74.4% of total)
ival-cos: 128.0ms (8.4% of total)
adjust: 98.0ms (6.4% of total)
ival-mult: 58.0ms (3.8% of total)
ival-div: 35.0ms (2.3% of total)
ival-add: 34.0ms (2.2% of total)
ival-hypot: 26.0ms (1.7% of total)
ival-sub: 3.0ms (0.2% of total)
ival-pi: 3.0ms (0.2% of total)
ival-neg: 3.0ms (0.2% of total)
exact: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series130.0ms (1.3%)

Memory
1.2MiB live, 135.4MiB allocated; 18ms collecting garbage
Counts
23 → 212
Calls
Call 1
Inputs
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
(fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2))
(*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1))
(*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1)
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2))
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R lambda1) #s(hole binary64 (* R lambda1)))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* R (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* R (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* -1 (* R (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* R (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (/ (+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* R (* lambda1 (cos (* 1/2 phi1))))) lambda1)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (/ (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))) lambda1)))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1 (* lambda2 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2)))))) (* lambda1 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* R (cos (* 1/2 phi1)))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
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#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 phi1))) lambda1)) (/ (* R (cos (* 1/2 phi1))) lambda2)))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 phi1))) lambda2)) (/ (* R (cos (* 1/2 phi1))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* -1/2 (+ phi1 phi2)))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* lambda1 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))) lambda2)) (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (neg phi1) #s(hole binary64 (* -1 phi1)))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 1))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (+ 1 (* -1 (/ phi1 phi2)))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 phi2))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* R (* lambda1 (cos (* 1/2 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* -1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (+ R (* -1 (/ (* R lambda2) lambda1)))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (+ R (+ (* -1 (/ (* R lambda2) lambda1)) (* (pow phi1 2) (+ (* -1/8 R) (* 1/8 (/ (* R lambda2) lambda1))))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (+ R (+ (* -1 (/ (* R lambda2) lambda1)) (* (pow phi1 2) (+ (* -1/8 R) (+ (* 1/8 (/ (* R lambda2) lambda1)) (* (pow phi1 2) (+ (* -1/384 (/ (* R lambda2) lambda1)) (* 1/384 R))))))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (+ R (+ (* -1 (/ (* R lambda2) lambda1)) (* (pow phi1 2) (+ (* -1/8 R) (+ (* 1/8 (/ (* R lambda2) lambda1)) (* (pow phi1 2) (+ (* -1/384 (/ (* R lambda2) lambda1)) (+ (* 1/384 R) (* (pow phi1 2) (+ (* -1/46080 R) (* 1/46080 (/ (* R lambda2) lambda1))))))))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2)))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))))))))))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* 1/2 phi2)))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (+ (* 1/2 phi1) (* 1/2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (* -1 (/ phi1 phi2))))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (* phi1 (- (/ 1 phi1) (/ 1 phi2)))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (+ phi1 phi2)))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* 1/2 phi1)))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (* -1 (* phi1 (- (/ 1 phi2) (/ 1 phi1))))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi2 (* -1 phi1))))))
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#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* -1 (* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2)))))
#s(approx (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* phi2 (cos (* 1/2 (PI))))))))
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#s(approx (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* phi2 (+ (* -1/2 (cos (* 1/2 (PI)))) (* phi2 (+ (* -1/8 (sin (* 1/2 (PI)))) (* 1/48 (* phi2 (cos (* 1/2 (PI))))))))))))
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#s(approx (* (cos (* 1/2 phi2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/8 (* (pow phi2 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos (* 1/2 phi2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow phi2 2) (+ (* -1/8 (sin (* 1/2 (PI)))) (* 1/384 (* (pow phi2 2) (sin (* 1/2 (PI))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (/ (+ phi2 (* -1 phi1)) phi2)))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi1))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))) (* R (* lambda1 (cos (* 1/2 phi1)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* -1/8 (* R (* lambda1 (* phi2 (cos (* 1/2 phi1)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi1))))) (* 1/48 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi1))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))))))))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* (sin (* 1/2 (PI))) (- lambda1 lambda2))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1/2 (* phi2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))))
#s(approx (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))))
#s(approx (* (cos (* 1/2 phi2)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2)))) (- lambda1 lambda2))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* -1 (* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)))))
Calls

15 calls:

TimeVariablePointExpression
45.0ms
R
@0
((+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* phi1 (/ -1 phi2)) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* phi1 (/ -1 phi2)) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* 1/2 (+ phi2 phi1)))
14.0ms
lambda1
@-inf
((+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* phi1 (/ -1 phi2)) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* phi1 (/ -1 phi2)) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* 1/2 (+ phi2 phi1)))
9.0ms
phi2
@inf
((+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* phi1 (/ -1 phi2)) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* phi1 (/ -1 phi2)) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* 1/2 (+ phi2 phi1)))
6.0ms
lambda1
@0
((+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* phi1 (/ -1 phi2)) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* phi1 (/ -1 phi2)) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* 1/2 (+ phi2 phi1)))
5.0ms
R
@-inf
((+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (+ (* phi1 (/ -1 phi2)) 1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* phi1 (/ -1 phi2)) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* 1/2 (+ phi2 phi1)))

simplify231.0ms (2.4%)

Memory
2.0MiB live, 239.1MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132312889
1449812711
0903010861
Stop Event
iter limit
node limit
Counts
212 → 212
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R lambda1) #s(hole binary64 (* R lambda1)))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* R (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* R (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* -1 (* R (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* R (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (/ (+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* R (* lambda1 (cos (* 1/2 phi1))))) lambda1)))
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#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1 (* lambda2 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2)))))) (* lambda1 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* R (cos (* 1/2 phi1)))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* -1/2 (+ phi1 phi2))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* R (cos (* -1/2 (+ phi1 phi2))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* -1/2 (+ phi1 phi2)))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* lambda1 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2)))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* lambda2 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))) lambda1)) (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 phi1))) lambda1)) (/ (* R (cos (* 1/2 phi1))) lambda2)))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda2 (+ (* -1 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* lambda2 (+ (* -1 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))) (/ (* lambda1 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))) lambda2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 phi1))) lambda2)) (/ (* R (cos (* 1/2 phi1))) lambda1))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* -1/2 (+ phi1 phi2)))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* lambda1 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))) lambda2)) (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (neg phi1) #s(hole binary64 (* -1 phi1)))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 1))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (+ 1 (* -1 (/ phi1 phi2)))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 phi2))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* R (* lambda1 (cos (* 1/2 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* -1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (+ R (* -1 (/ (* R lambda2) lambda1)))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (+ R (+ (* -1 (/ (* R lambda2) lambda1)) (* (pow phi1 2) (+ (* -1/8 R) (* 1/8 (/ (* R lambda2) lambda1))))))))
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#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (+ R (+ (* -1 (/ (* R lambda2) lambda1)) (* (pow phi1 2) (+ (* -1/8 R) (+ (* 1/8 (/ (* R lambda2) lambda1)) (* (pow phi1 2) (+ (* -1/384 (/ (* R lambda2) lambda1)) (+ (* 1/384 R) (* (pow phi1 2) (+ (* -1/46080 R) (* 1/46080 (/ (* R lambda2) lambda1))))))))))))))
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#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
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#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (* -1 (/ phi1 phi2))))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (* phi1 (- (/ 1 phi1) (/ 1 phi2)))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* -1 phi1)))
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#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (+ phi1 phi2)))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* 1/2 phi1)))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (* -1 (* phi1 (- (/ 1 phi2) (/ 1 phi1))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (/ (+ phi2 (* -1 phi1)) phi2)))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi1))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))) (* R (* lambda1 (cos (* 1/2 phi1)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* -1/8 (* R (* lambda1 (* phi2 (cos (* 1/2 phi1)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi1))))) (* 1/48 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi1))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))))))))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* (sin (* 1/2 (PI))) (- lambda1 lambda2))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1/2 (* phi2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))))
#s(approx (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2))))))
#s(approx (* (cos (* 1/2 phi2)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2)))) (- lambda1 lambda2))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* -1 (* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (-.f64 phi1 phi2)) R))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))
#s(approx (* R lambda1) #s(hole binary64 (* R lambda1)))
#s(approx (* R lambda1) (*.f64 lambda1 R))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* R (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (/.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) R))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (*.f64 lambda1 R) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) (neg.f64 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* R (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) (neg.f64 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) R))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* -1 (* R (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (/.f64 lambda2 lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (neg.f64 R)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))))
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#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (* R (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2) (PI.f64)))) (neg.f64 R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64))) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 lambda1 R) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 lambda2 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 R) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (neg.f64 (*.f64 (*.f64 lambda2 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (/.f64 lambda2 lambda1)) (neg.f64 R)))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) #s(hole binary64 (/ (+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* R (* lambda1 (cos (* 1/2 phi1))))) lambda1)))
#s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (/.f64 (fma.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 lambda2 R) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))) lambda1))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2) (PI.f64))) (*.f64 lambda2 R)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))))))
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#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (neg.f64 lambda1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda1) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (neg.f64 lambda1)))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2)) R))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64))) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 lambda2 R) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 R) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2)) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2))))
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#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 phi2))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) phi2)
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
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#s(approx (+ (* phi1 (/ -1 phi2)) 1) #s(hole binary64 (/ (+ phi2 (* -1 phi1)) phi2)))
#s(approx (+ (* phi1 (/ -1 phi2)) 1) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi2))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi1))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))) (* R (* lambda1 (cos (* 1/2 phi1)))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) phi2) phi1 #s(literal 1 binary64)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) phi2) phi1 #s(literal 1 binary64)) phi2))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) #s(hole binary64 (* (+ (* (cos (* 1/2 phi2)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 phi2)))) (- lambda1 lambda2))))
#s(approx (* (+ (* (sin (* -1/2 phi2)) (cos (/ (PI) 2))) (* (cos (* 1/2 phi2)) (sin (/ (PI) 2)))) (- lambda1 lambda2)) (*.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (-.f64 lambda1 lambda2)))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))))
#s(approx (* 1/2 (+ phi2 phi1)) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 phi1 R)) phi2) #s(literal -1 binary64) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 phi1 R (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 R (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 #s(literal -1 binary64) phi2) phi1 #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (* (+ (* phi1 (/ -1 phi2)) 1) phi2) (*.f64 (neg.f64 phi2) (-.f64 (/.f64 phi1 phi2) #s(literal 1 binary64))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64)))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64)))) (neg.f64 lambda1))) lambda1))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(hole binary64 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2))))))))
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64)))) (neg.f64 lambda1))))
#s(approx (* 1/2 (+ phi2 phi1)) #s(hole binary64 (* -1 (* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)))))
#s(approx (* 1/2 (+ phi2 phi1)) (*.f64 (neg.f64 phi2) (-.f64 (*.f64 (/.f64 phi1 phi2) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))

rewrite140.0ms (1.4%)

Memory
23.0MiB live, 112.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069574
0108447
1383419
03193376
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 216
Calls
Call 1
Inputs
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
(fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2))
(*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1))
(*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1)
#s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2))
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (fma.f64 phi2 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 phi2 #s(literal -1/2 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 phi2 #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
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(+.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 #s(literal 0 binary64) (-.f64 lambda1 lambda2)))
(+.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (-.f64 lambda1 lambda2) #s(literal 0 binary64)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)) R)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)))
(*.f64 (neg.f64 (+.f64 phi1 phi2)) #s(literal -1/2 binary64))
(*.f64 (+.f64 phi1 phi2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 phi1 phi2)))
(/.f64 (*.f64 (*.f64 (+.f64 phi1 phi2) (-.f64 phi1 phi2)) #s(literal 1/2 binary64)) (-.f64 phi1 phi2))
(/.f64 (*.f64 (*.f64 (+.f64 phi1 phi2) (-.f64 phi2 phi1)) #s(literal 1/2 binary64)) (-.f64 phi2 phi1))
(/.f64 (*.f64 (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 phi2 (-.f64 phi2 phi1) (*.f64 phi1 phi1)))
(/.f64 (*.f64 (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 phi1 (-.f64 phi1 phi2) (*.f64 phi2 phi2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 phi1 phi2) (-.f64 phi1 phi2))) (-.f64 phi1 phi2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 phi1 phi2) (-.f64 phi2 phi1))) (-.f64 phi2 phi1))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64)))) (fma.f64 phi2 (-.f64 phi2 phi1) (*.f64 phi1 phi1)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64)))) (fma.f64 phi1 (-.f64 phi1 phi2) (*.f64 phi2 phi2)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi2) (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (*.f64 phi1 #s(literal 1/2 binary64)) (*.f64 phi1 #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) phi2) (*.f64 phi1 #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 phi1 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (*.f64 #s(literal 1/2 binary64) phi2) (-.f64 (*.f64 (*.f64 phi1 #s(literal 1/2 binary64)) (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) phi2) (*.f64 phi1 #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (+.f64 phi1 phi2) #s(literal -1/2 binary64)))
(fma.f64 phi1 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi2))
(fma.f64 #s(literal 1/2 binary64) phi1 (*.f64 #s(literal 1/2 binary64) phi2))
(fma.f64 #s(literal 1/2 binary64) phi2 (*.f64 phi1 #s(literal 1/2 binary64)))
(fma.f64 phi2 #s(literal 1/2 binary64) (*.f64 phi1 #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) phi2) (*.f64 phi1 #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (*.f64 phi2 #s(literal -1/2 binary64))) (neg.f64 (*.f64 phi1 #s(literal -1/2 binary64))))
(+.f64 (*.f64 phi1 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) phi2))
(+.f64 (*.f64 #s(literal 1/2 binary64) phi2) (*.f64 phi1 #s(literal 1/2 binary64)))

eval75.0ms (0.8%)

Memory
-35.0MiB live, 75.1MiB allocated; 27ms collecting garbage
Compiler

Compiled 27 178 to 2 218 computations (91.8% saved)

prune99.0ms (1%)

Memory
-3.7MiB live, 88.4MiB allocated; 6ms collecting garbage
Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New37713390
Fresh82432
Picked235
Done011
Total38741428
Accuracy
99.6%
Counts
428 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.0%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
25.6%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
72.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)))
67.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 phi2 #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) phi2)))
69.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
67.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
55.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
54.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
12.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
23.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
54.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi2)) phi2)))
26.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (neg.f64 phi1) phi2)) phi2)))
33.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
61.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
56.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
9.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
22.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1)))))
8.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
33.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
56.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (neg.f64 phi1)))
55.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
16.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
16.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (neg.f64 lambda1))) lambda1))
15.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 lambda1))) lambda1))
9.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
12.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
8.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))))
19.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
19.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi1)))))
11.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 phi2 #s(literal -1/2 binary64))) (sin.f64 (*.f64 phi1 #s(literal -1/2 binary64)))))))
6.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi1 phi2) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
8.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
9.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi1)))))
13.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
8.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
11.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1))
17.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2) (PI.f64)))) (neg.f64 R))) lambda1))
14.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (+.f64 (fma.f64 (neg.f64 R) (/.f64 lambda2 lambda1) R) (*.f64 (fma.f64 (/.f64 (*.f64 lambda2 R) lambda1) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) R)) (*.f64 phi1 phi1))))) lambda1))
9.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R))) lambda1))
8.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda1 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) phi2 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
Compiler

Compiled 4 185 to 2 322 computations (44.5% saved)

simplify162.0ms (1.6%)

Memory
8.1MiB live, 103.9MiB allocated; 8ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
cost-diff0
(*.f64 R lambda1)
cost-diff0
(*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
cost-diff0
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
cost-diff0
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
cost-diff0
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
cost-diff0
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
cost-diff0
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2)))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
cost-diff1
(fma.f64 #s(literal -1 binary64) phi1 phi2)
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)))
cost-diff1
(-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
cost-diff1
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))
cost-diff9
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070744
0102730
1220721
2628706
31831651
45963651
08146507
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2))
(hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
#s(literal 2 binary64)
(-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2)))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
(fma.f64 #s(literal -1 binary64) phi1 phi2)
#s(literal -1 binary64)
phi1
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
(-.f64 lambda1 lambda2)
lambda1
lambda2
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(neg.f64 lambda2)
lambda2
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(*.f64 R lambda1)
R
lambda1
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 #s(literal 1/2 binary64) phi1)
#s(literal 1/2 binary64)
phi1
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
(*.f64 #s(literal -1/2 binary64) phi1)
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
#s(literal 2 binary64)
(-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (-.f64 phi2 phi1))) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (-.f64 phi2 phi1)))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (-.f64 phi2 phi1))
(fma.f64 #s(literal -1 binary64) phi1 phi2)
(-.f64 phi2 phi1)
#s(literal -1 binary64)
phi1
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
(-.f64 lambda1 lambda2)
lambda1
lambda2
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(neg.f64 lambda2)
lambda2
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (*.f64 lambda1 R)))
(*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (*.f64 lambda1 R))
(*.f64 R lambda1)
(*.f64 lambda1 R)
R
lambda1
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 #s(literal 1/2 binary64) phi1)
#s(literal 1/2 binary64)
phi1
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
(*.f64 #s(literal -1/2 binary64) phi1)

localize302.0ms (3.1%)

Memory
29.2MiB live, 351.2MiB allocated; 25ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
accuracy0.19140625
(*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
accuracy29.886208392122608
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
accuracy56.72884592068563
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
accuracy0.16015625
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
accuracy25.256082180970544
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
accuracy59.94524192180771
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
accuracy0.0
(-.f64 lambda1 lambda2)
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
accuracy25.256082180970544
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
accuracy28.19340843516209
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
accuracy0.0
(fma.f64 #s(literal -1 binary64) phi1 phi2)
accuracy0.0
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
accuracy27.52019761755506
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2)))
accuracy0.08984375
(*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))))
accuracy0.1640625
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
accuracy0.24675751953688402
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))
accuracy25.256082180970544
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2))
Samples
209.0ms189×1valid
31.0ms3valid
23.0ms66×0valid
Compiler

Compiled 546 to 52 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
adjust: 52.0ms (26.6% of total)
ival-cos: 47.0ms (24% of total)
ival-mult: 39.0ms (19.9% of total)
ival-hypot: 17.0ms (8.7% of total)
ival-sub: 10.0ms (5.1% of total)
ival-add: 9.0ms (4.6% of total)
ival-div: 8.0ms (4.1% of total)
ival-sin: 7.0ms (3.6% of total)
ival-pow2: 4.0ms (2% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series93.0ms (1%)

Memory
-29.1MiB live, 111.5MiB allocated; 15ms collecting garbage
Counts
25 → 243
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)))
(fma.f64 #s(literal -1 binary64) phi1 phi2)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2)))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(*.f64 R lambda1)
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))
(*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))))
(-.f64 lambda1 lambda2)
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R lambda1) #s(hole binary64 (* R lambda1)))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 phi2))))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))))
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#s(approx (- lambda1 lambda2) #s(hole binary64 (* -1 lambda2)))
#s(approx (- lambda1 lambda2) #s(hole binary64 (- lambda1 lambda2)))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* lambda1 (cos (* 1/2 phi2)))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))
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#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda1 (cos (* -1/2 phi2)))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (* -1 (* lambda1 (pow (cos (* 1/2 phi2)) 2)))))
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#s(approx (- lambda1 lambda2) #s(hole binary64 lambda1))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3))))))))))))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 phi2))))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (+ lambda1 (* -1 lambda2))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda2 (cos (* -1/2 phi2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2)))))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* lambda1 (pow (cos (* 1/2 phi2)) 2)) lambda2)) (pow (cos (* 1/2 phi2)) 2)))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* lambda2 (- (/ lambda1 lambda2) 1))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* lambda2 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda2)) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (pow (cos (* 1/2 phi2)) 2)) (/ (* lambda1 (pow (cos (* 1/2 phi2)) 2)) lambda2))))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* -1 (* lambda2 (+ 1 (* -1 (/ lambda1 lambda2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 phi2))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 phi2))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* R (* lambda1 (cos (* 1/2 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* -1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ 1 (* -1/4 (* phi1 phi2)))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ 1 (* phi1 (+ (* -1/4 phi2) (* -1/8 phi1))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ 1 (* phi1 (+ (* -1/4 phi2) (* phi1 (- (* 1/96 (* phi1 phi2)) 1/8)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (+ phi1 phi2)))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi2 (* -1 phi1))))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (- lambda1 lambda2)))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 -1))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 (- (* 1/4 (pow phi2 2)) 1)))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 (- (* (pow phi2 2) (+ 1/4 (* -1/48 (pow phi2 2)))) 1)))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 (- (* (pow phi2 2) (+ 1/4 (* (pow phi2 2) (- (* 1/1440 (pow phi2 2)) 1/48)))) 1)))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 -1))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 (- (* 1/8 (pow phi2 2)) 1)))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 (- (* (pow phi2 2) (+ 1/8 (* -1/384 (pow phi2 2)))) 1)))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 (- (* (pow phi2 2) (+ 1/8 (* (pow phi2 2) (- (* 1/46080 (pow phi2 2)) 1/384)))) 1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- lambda1 lambda2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- lambda1 lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (* -1 lambda2)))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (+ (* -1 lambda2) (* 1/8 (* lambda2 (pow phi2 2))))))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (+ (* -1 lambda2) (* (pow phi2 2) (+ (* -1/384 (* lambda2 (pow phi2 2))) (* 1/8 lambda2))))))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (+ (* -1 lambda2) (* (pow phi2 2) (+ (* 1/8 lambda2) (* (pow phi2 2) (+ (* -1/384 lambda2) (* 1/46080 (* lambda2 (pow phi2 2))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi1))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))) (* R (* lambda1 (cos (* 1/2 phi1)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* -1/8 (* R (* lambda1 (* phi2 (cos (* 1/2 phi1)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi1))))) (* 1/48 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi1))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 1))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 (+ 1 (* -1/4 (pow phi2 2)))))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* 1/48 (pow phi2 2)) 1/4)))))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/48 (* -1/1440 (pow phi2 2)))) 1/4)))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (* -1 (- lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (+ (* -1 (- lambda1 lambda2)) (* 1/4 (* (pow phi2 2) (- lambda1 lambda2))))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (+ (* -1 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/48 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/4 (- lambda1 lambda2)))))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (+ (* -1 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* 1/4 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/48 (- lambda1 lambda2)) (* 1/1440 (* (pow phi2 2) (- lambda1 lambda2))))))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (cos (* -1/2 phi1))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* (cos (* 1/2 phi2)) (- lambda1 lambda2))))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 (* -1 (pow (cos (* 1/2 phi2)) 2))))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 (* -1 (cos (* 1/2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* (cos (* -1/2 phi2)) (- lambda1 lambda2))))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 (pow (cos (* 1/2 phi2)) 2)))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (* -1 (* (pow (cos (* 1/2 phi2)) 2) (- lambda1 lambda2)))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (* -1/2 (* phi2 (sin (* 1/2 phi1))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (* phi2 (+ (* -1/2 (sin (* 1/2 phi1))) (/ (cos (* -1/2 phi1)) phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ (cos (* -1/2 phi1)) phi2)) (* 1/2 (sin (* 1/2 phi1))))))))
Calls

15 calls:

TimeVariablePointExpression
21.0ms
lambda2
@-inf
((/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (- 0 (pow (cos (* 1/2 phi2)) 2)) (- 0 (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (neg lambda2) (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (cos (* 1/2 phi2)) 2) (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- lambda1 lambda2) (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))))
8.0ms
R
@inf
((/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (- 0 (pow (cos (* 1/2 phi2)) 2)) (- 0 (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (neg lambda2) (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (cos (* 1/2 phi2)) 2) (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- lambda1 lambda2) (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))))
5.0ms
phi2
@0
((/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (- 0 (pow (cos (* 1/2 phi2)) 2)) (- 0 (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (neg lambda2) (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (cos (* 1/2 phi2)) 2) (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- lambda1 lambda2) (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))))
5.0ms
lambda1
@0
((/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (- 0 (pow (cos (* 1/2 phi2)) 2)) (- 0 (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (neg lambda2) (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (cos (* 1/2 phi2)) 2) (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- lambda1 lambda2) (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))))
4.0ms
phi2
@inf
((/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (- 0 (pow (cos (* 1/2 phi2)) 2)) (- 0 (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (+ (* -1 phi1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ (* (/ phi1 phi2) -1) 1) phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (neg lambda2) (cos (* 1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* 1/2 (+ phi2 phi1))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (cos (* 1/2 phi2)) 2) (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- lambda1 lambda2) (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))))

simplify1.2s (12%)

Memory
-68.2MiB live, 291.1MiB allocated; 1.4s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141212984
1460812898
0950710816
Stop Event
iter limit
node limit
Counts
243 → 243
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R lambda1) #s(hole binary64 (* R lambda1)))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 phi2))))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))))))))
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#s(approx (- lambda1 lambda2) #s(hole binary64 lambda1))
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#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3))))))))))))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 phi2))))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (+ lambda1 (* -1 lambda2))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda2 (cos (* -1/2 phi2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2)))))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (* lambda2 (+ (* -1 (/ (* lambda1 (pow (cos (* 1/2 phi2)) 2)) lambda2)) (pow (cos (* 1/2 phi2)) 2)))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* lambda2 (- (/ lambda1 lambda2) 1))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* lambda2 (cos (* -1/2 phi2))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* lambda2 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda2)) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (* -1 (* lambda2 (+ (* -1 (pow (cos (* 1/2 phi2)) 2)) (/ (* lambda1 (pow (cos (* 1/2 phi2)) 2)) lambda2))))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* -1 (* lambda2 (+ 1 (* -1 (/ lambda1 lambda2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 phi2))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 phi2))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* R (* lambda1 (cos (* 1/2 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* -1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2))))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ 1 (* -1/4 (* phi1 phi2)))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ 1 (* phi1 (+ (* -1/4 phi2) (* -1/8 phi1))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ 1 (* phi1 (+ (* -1/4 phi2) (* phi1 (- (* 1/96 (* phi1 phi2)) 1/8)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (+ phi1 phi2)))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi2 (* -1 phi1))))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (- lambda1 lambda2)))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 -1))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 (- (* 1/4 (pow phi2 2)) 1)))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 (- (* (pow phi2 2) (+ 1/4 (* -1/48 (pow phi2 2)))) 1)))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 (- (* (pow phi2 2) (+ 1/4 (* (pow phi2 2) (- (* 1/1440 (pow phi2 2)) 1/48)))) 1)))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 -1))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 (- (* 1/8 (pow phi2 2)) 1)))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 (- (* (pow phi2 2) (+ 1/8 (* -1/384 (pow phi2 2)))) 1)))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 (- (* (pow phi2 2) (+ 1/8 (* (pow phi2 2) (- (* 1/46080 (pow phi2 2)) 1/384)))) 1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- lambda1 lambda2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- lambda1 lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (* -1 lambda2)))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (+ (* -1 lambda2) (* 1/8 (* lambda2 (pow phi2 2))))))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (+ (* -1 lambda2) (* (pow phi2 2) (+ (* -1/384 (* lambda2 (pow phi2 2))) (* 1/8 lambda2))))))
#s(approx (* (neg lambda2) (cos (* 1/2 phi2))) #s(hole binary64 (+ (* -1 lambda2) (* (pow phi2 2) (+ (* 1/8 lambda2) (* (pow phi2 2) (+ (* -1/384 lambda2) (* 1/46080 (* lambda2 (pow phi2 2))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi1))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* -1/2 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))) (* R (* lambda1 (cos (* 1/2 phi1)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* -1/8 (* R (* lambda1 (* phi2 (cos (* 1/2 phi1)))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi1))))) (* 1/48 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi1))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 1))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 (+ 1 (* -1/4 (pow phi2 2)))))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* 1/48 (pow phi2 2)) 1/4)))))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/48 (* -1/1440 (pow phi2 2)))) 1/4)))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (* -1 (- lambda1 lambda2))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (+ (* -1 (- lambda1 lambda2)) (* 1/4 (* (pow phi2 2) (- lambda1 lambda2))))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (+ (* -1 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/48 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/4 (- lambda1 lambda2)))))))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (+ (* -1 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* 1/4 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/48 (- lambda1 lambda2)) (* 1/1440 (* (pow phi2 2) (- lambda1 lambda2))))))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (cos (* -1/2 phi1))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* (cos (* 1/2 phi2)) (- lambda1 lambda2))))
#s(approx (- 0 (pow (cos (* 1/2 phi2)) 2)) #s(hole binary64 (* -1 (pow (cos (* 1/2 phi2)) 2))))
#s(approx (- 0 (cos (* 1/2 phi2))) #s(hole binary64 (* -1 (cos (* 1/2 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 phi2))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(hole binary64 (* (cos (* -1/2 phi2)) (- lambda1 lambda2))))
#s(approx (pow (cos (* 1/2 phi2)) 2) #s(hole binary64 (pow (cos (* 1/2 phi2)) 2)))
#s(approx (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) #s(hole binary64 (* -1 (* (pow (cos (* 1/2 phi2)) 2) (- lambda1 lambda2)))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (* -1/2 (* phi2 (sin (* 1/2 phi1))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (* phi2 (+ (* -1/2 (sin (* 1/2 phi1))) (/ (cos (* -1/2 phi1)) phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2))))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ (cos (* -1/2 phi1)) phi2)) (* 1/2 (sin (* 1/2 phi1))))))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (-.f64 phi1 phi2)) R))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))
#s(approx (* R lambda1) #s(hole binary64 (* R lambda1)))
#s(approx (* R lambda1) (*.f64 R lambda1))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (* -1 (* lambda2 (cos (* 1/2 phi2))))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) #s(hole binary64 (+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64))) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 R lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)) R)))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2))))
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#s(approx (- lambda1 lambda2) #s(hole binary64 lambda1))
#s(approx (- lambda1 lambda2) lambda1)
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#s(approx (- lambda1 lambda2) #s(hole binary64 (+ lambda1 (* -1 lambda2))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 phi1 R) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1/6 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal -2 binary64) phi2)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (*.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal -2 binary64) phi2)) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) phi1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R)))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 phi2))
#s(approx (+ (* -1 phi1) phi2) phi2)
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (+ (* -1 phi1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal -2 binary64) phi2)) phi1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) phi1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal -2 binary64) phi2))))) phi1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))))
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#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 phi2))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) phi2)
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (+ phi2 (* -1 phi1))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 phi2))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
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#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* -1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))))))))
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#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (+ (* R (* lambda1 (cos (* 1/2 phi2)))) (* phi1 (+ (* -1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))))))))
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#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 phi2))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))))
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#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))))
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#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2))))))))
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#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ 1 (* phi1 (+ (* -1/4 phi2) (* phi1 (- (* 1/96 (* phi1 phi2)) 1/8)))))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* R phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi1 R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) phi1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) phi1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (*.f64 #s(literal -1/2 binary64) (fma.f64 R (*.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) phi1))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (+ (* -1 phi1) phi2) (neg.f64 phi1))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (+ (* -1 phi1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi1)
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi2) phi1)) #s(literal 1 binary64)) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (/.f64 (neg.f64 phi2) phi1)) #s(literal 1 binary64)) phi1))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 phi1)))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (neg.f64 phi1))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* phi1 (- (/ phi2 phi1) 1))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (+ phi1 phi2)))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (+ (cos (* -1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* R phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 R) phi1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1))) #s(literal -1/2 binary64) (*.f64 R phi2)) phi1) #s(literal -1 binary64) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(hole binary64 (* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 R phi2 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 R (*.f64 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)))))) (neg.f64 phi1))) phi1) #s(literal -1 binary64) R)))
#s(approx (+ (* -1 phi1) phi2) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (+ (* -1 phi1) phi2) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 phi1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)) #s(literal -1/2 binary64) phi2) phi1) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1))))) phi1) #s(literal -1 binary64) phi2) phi1) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1))))))))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 #s(literal -1 binary64) (/.f64 phi1 phi2) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) #s(hole binary64 (* -1 (* phi2 (- (/ phi1 phi2) 1)))))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (neg.f64 phi2) (-.f64 (/.f64 phi1 phi2) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 phi2)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (neg.f64 phi2))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 phi2) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 phi2) (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(hole binary64 (* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 phi2) (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) #s(hole binary64 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2))))))))
#s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64)))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) #s(hole binary64 (cos (* 1/2 (- phi1 (* -1 phi2))))))
#s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(hole binary64 (* -1 (* phi2 (+ (* -1 (/ (cos (* -1/2 phi1)) phi2)) (* 1/2 (sin (* 1/2 phi1))))))))
#s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (*.f64 (neg.f64 phi2) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (neg.f64 phi2)))))

rewrite125.0ms (1.3%)

Memory
15.4MiB live, 204.3MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070662
0102530
1384488
03604443
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 280
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)))
(fma.f64 #s(literal -1 binary64) phi1 phi2)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2)))
#s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)
#s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(*.f64 R lambda1)
#s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))
(*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))))
(-.f64 lambda1 lambda2)
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))) (-.f64 lambda1 lambda2)) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))) (-.f64 lambda1 lambda2)) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))) (/.f64 (-.f64 lambda1 lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (*.f64 (+.f64 lambda2 lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (*.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))))
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))) (-.f64 lambda1 lambda2)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))))
(neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)))
(neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))))
(neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(sin.f64 (neg.f64 (fma.f64 phi2 #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (fma.f64 phi2 #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
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(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)))) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64)))) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)))) (*.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64)))) (*.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)))
(/.f64 (neg.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (neg.f64 (+.f64 lambda2 lambda1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (neg.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (+.f64 lambda2 lambda1))
(/.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(-.f64 (/.f64 (*.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)) (/.f64 (*.f64 lambda2 lambda2) (+.f64 lambda2 lambda1)))
(-.f64 (/.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))) (/.f64 (pow.f64 lambda2 #s(literal 3 binary64)) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(-.f64 lambda1 lambda2)
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))) (-.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) phi2) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2))) (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) phi2) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) phi2) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2))) (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) phi2 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) phi2) #s(literal -1/2 binary64) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) phi2) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))
(fma.f64 phi2 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64)))) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) phi2)))
(-.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (*.f64 phi2 #s(literal 1/2 binary64)) (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64)))))
(-.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) phi2)))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2))) (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2))) (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))))
(+.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) phi2)))

eval132.0ms (1.3%)

Memory
3.7MiB live, 142.0MiB allocated; 10ms collecting garbage
Compiler

Compiled 35 301 to 3 044 computations (91.4% saved)

prune112.0ms (1.1%)

Memory
-5.2MiB live, 133.9MiB allocated; 16ms collecting garbage
Pruning

50 alts after pruning (43 fresh and 7 done)

PrunedKeptTotal
New52115536
Fresh42832
Picked235
Done044
Total52750577
Accuracy
99.6%
Counts
577 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.0%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
25.6%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
72.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2)))
66.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 phi2 #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi2)))
67.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 phi2 #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) phi2)))
69.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
55.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
67.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
50.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) (neg.f64 lambda2))) phi2)))
52.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) lambda1)) phi2)))
54.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
12.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
23.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
54.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi2)) phi2)))
26.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (neg.f64 phi1) phi2)) phi2)))
33.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
61.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (+.f64 (neg.f64 phi1) phi2))))
56.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
9.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
22.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
8.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
15.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/46080 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (*.f64 #s(literal -1/384 binary64) lambda2)) (*.f64 phi2 phi2) (*.f64 #s(literal 1/8 binary64) lambda2)) (*.f64 phi2 phi2) (neg.f64 lambda2))))))
14.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (neg.f64 lambda2))))))
3.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (neg.f64 lambda2)))))
33.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
56.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (neg.f64 phi1)))
55.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
16.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
16.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (neg.f64 lambda1))) lambda1))
15.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 lambda1))) lambda1))
9.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
12.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
8.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))))
19.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
19.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi1)))))
11.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 phi2 #s(literal -1/2 binary64))) (sin.f64 (*.f64 phi1 #s(literal -1/2 binary64)))))))
6.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi1 phi2) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
8.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
9.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi1)))))
13.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
8.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
15.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))))))
11.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (*.f64 phi1 phi2) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
2.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(literal 1 binary64)))))
23.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))
11.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) lambda1))
14.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (+.f64 (fma.f64 (neg.f64 R) (/.f64 lambda2 lambda1) R) (*.f64 (fma.f64 (/.f64 (*.f64 lambda2 R) lambda1) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) R)) (*.f64 phi1 phi1))))) lambda1))
9.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R))) lambda1))
8.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda1 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) phi2 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
Compiler

Compiled 7 384 to 2 079 computations (71.8% saved)

regimes208.0ms (2.1%)

Memory
-12.6MiB live, 185.9MiB allocated; 28ms collecting garbage
Counts
86 → 2
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (neg.f64 lambda2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (+.f64 (neg.f64 phi1) phi2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (*.f64 phi1 phi2) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (neg.f64 lambda2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi2)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/46080 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (*.f64 #s(literal -1/384 binary64) lambda2)) (*.f64 phi2 phi2) (*.f64 #s(literal 1/8 binary64) lambda2)) (*.f64 phi2 phi2) (neg.f64 lambda2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (+.f64 (fma.f64 (neg.f64 R) (/.f64 lambda2 lambda1) R) (*.f64 (fma.f64 (/.f64 (*.f64 lambda2 R) lambda1) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) R)) (*.f64 phi1 phi1))))) lambda1))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) lambda1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) (neg.f64 lambda2))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R))) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi1)))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 phi2 #s(literal -1/2 binary64))) (sin.f64 (*.f64 phi1 #s(literal -1/2 binary64)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (/ (+ phi1 phi2) 2)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (neg.f64 lambda1))) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (cos.f64 (/.f64 phi1 #s(literal 2 binary64))) (cos.f64 (/.f64 phi2 #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 phi1 #s(literal 2 binary64))) (sin.f64 (/.f64 phi2 #s(literal 2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (fma.f64 (neg.f64 phi2) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (fma.f64 (fma.f64 #s(literal -2 binary64) phi1 (fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 phi2 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/6 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) #s(literal 1 binary64)) phi2))) phi2 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
Calls

9 calls:

39.0ms
lambda1
22.0ms
phi1
21.0ms
R
21.0ms
phi2
20.0ms
lambda2
Results
AccuracySegmentsBranch
81.4%2(-.f64 lambda1 lambda2)
81.3%2(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
81.3%2(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
80.9%2(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
79.2%4R
79.1%4lambda1
77.6%3lambda2
92.4%2phi1
92.8%2phi2
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes30.0ms (0.3%)

Memory
36.1MiB live, 36.1MiB allocated; 0ms collecting garbage
Counts
54 → 2
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (neg.f64 lambda2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (+.f64 (neg.f64 phi1) phi2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (*.f64 phi1 phi2) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (neg.f64 lambda2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi2)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/46080 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (*.f64 #s(literal -1/384 binary64) lambda2)) (*.f64 phi2 phi2) (*.f64 #s(literal 1/8 binary64) lambda2)) (*.f64 phi2 phi2) (neg.f64 lambda2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (+.f64 (fma.f64 (neg.f64 R) (/.f64 lambda2 lambda1) R) (*.f64 (fma.f64 (/.f64 (*.f64 lambda2 R) lambda1) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) R)) (*.f64 phi1 phi1))))) lambda1))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) lambda1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) (neg.f64 lambda2))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R))) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi1 phi2) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
Calls

2 calls:

13.0ms
phi2
13.0ms
phi1
Results
AccuracySegmentsBranch
87.4%2phi1
89.6%2phi2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes30.0ms (0.3%)

Memory
-14.9MiB live, 31.2MiB allocated; 2ms collecting garbage
Counts
53 → 2
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (neg.f64 lambda2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (+.f64 (neg.f64 phi1) phi2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (*.f64 phi1 phi2) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (neg.f64 lambda2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi2)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/46080 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (*.f64 #s(literal -1/384 binary64) lambda2)) (*.f64 phi2 phi2) (*.f64 #s(literal 1/8 binary64) lambda2)) (*.f64 phi2 phi2) (neg.f64 lambda2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (+.f64 (fma.f64 (neg.f64 R) (/.f64 lambda2 lambda1) R) (*.f64 (fma.f64 (/.f64 (*.f64 lambda2 R) lambda1) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) R)) (*.f64 phi1 phi1))))) lambda1))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) lambda1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) (neg.f64 lambda2))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R))) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* 1/2 (+ phi2 phi1)) (*.f64 #s(literal 1/2 binary64) phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi1 phi2) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (/ (* (- lambda1 lambda2) (- 0 (pow (cos (* 1/2 phi2)) 2))) (- 0 (cos (* 1/2 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2)))
Calls

2 calls:

14.0ms
phi2
13.0ms
phi1
Results
AccuracySegmentsBranch
82.4%2phi1
74.0%3phi2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes53.0ms (0.5%)

Memory
7.3MiB live, 55.5MiB allocated; 5ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (neg.f64 lambda2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (+.f64 (neg.f64 phi1) phi2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (*.f64 phi1 phi2) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (neg.f64 lambda2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi2)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/46080 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (*.f64 #s(literal -1/384 binary64) lambda2)) (*.f64 phi2 phi2) (*.f64 #s(literal 1/8 binary64) lambda2)) (*.f64 phi2 phi2) (neg.f64 lambda2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (+.f64 (fma.f64 (neg.f64 R) (/.f64 lambda2 lambda1) R) (*.f64 (fma.f64 (/.f64 (*.f64 lambda2 R) lambda1) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) R)) (*.f64 phi1 phi1))))) lambda1))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) lambda1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) (neg.f64 lambda2))) phi2)))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) lambda1)) phi2)))
Calls

8 calls:

8.0ms
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
6.0ms
phi1
6.0ms
(-.f64 lambda1 lambda2)
6.0ms
lambda1
6.0ms
lambda2
Results
AccuracySegmentsBranch
71.0%3lambda1
71.7%3lambda2
66.3%3R
61.8%1(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
61.8%1(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
61.8%1(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
65.5%2(-.f64 lambda1 lambda2)
73.2%2phi1
Compiler

Compiled 98 to 74 computations (24.5% saved)

regimes54.0ms (0.6%)

Memory
-7.2MiB live, 39.4MiB allocated; 1ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (neg.f64 lambda2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (+.f64 (neg.f64 phi1) phi2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (*.f64 phi1 phi2) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (neg.f64 lambda2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (/ phi1 phi2) -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) phi2)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 phi1 (/.f64 #s(literal -1 binary64) phi2) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/46080 binary64) (*.f64 (*.f64 phi2 phi2) lambda2) (*.f64 #s(literal -1/384 binary64) lambda2)) (*.f64 phi2 phi2) (*.f64 #s(literal 1/8 binary64) lambda2)) (*.f64 phi2 phi2) (neg.f64 lambda2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) #s(approx (+ (* (neg R) (/ (* (cos (* 1/2 phi1)) lambda2) lambda1)) (* (cos (* 1/2 phi1)) R)) (+.f64 (fma.f64 (neg.f64 R) (/.f64 lambda2 lambda1) R) (*.f64 (fma.f64 (/.f64 (*.f64 lambda2 R) lambda1) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) R)) (*.f64 phi1 phi1))))) lambda1))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (+.f64 (neg.f64 phi1) phi2))))
Calls

6 calls:

23.0ms
lambda1
6.0ms
phi1
6.0ms
(-.f64 lambda1 lambda2)
6.0ms
phi2
6.0ms
R
Results
AccuracySegmentsBranch
61.8%1R
61.8%1(-.f64 lambda1 lambda2)
61.8%1lambda1
61.8%1lambda2
61.8%1phi2
61.8%1phi1
Compiler

Compiled 8 to 31 computations (-287.5% saved)

regimes16.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (neg.f64 lambda2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) #s(approx (+ (* (* -1/2 phi2) (sin (* 1/2 phi1))) (cos (* -1/2 phi1))) #s(literal 1 binary64)))))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
Calls

9 calls:

2.0ms
phi1
2.0ms
lambda1
2.0ms
(-.f64 lambda1 lambda2)
2.0ms
phi2
2.0ms
R
Results
AccuracySegmentsBranch
37.9%3(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
37.9%3(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
35.3%2(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
38.7%3lambda1
38.0%3lambda2
58.1%2phi2
35.3%2(-.f64 lambda1 lambda2)
57.2%2phi1
37.7%3R
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes40.0ms (0.4%)

Memory
-13.5MiB live, 33.4MiB allocated; 1ms collecting garbage
Accuracy

Total -19.7b remaining (-46.1%)

Threshold costs -19.7b (-46.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda2) (cos (* 1/2 phi2))) (neg.f64 lambda2)))))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
Calls

9 calls:

30.0ms
lambda1
1.0ms
lambda2
1.0ms
phi2
1.0ms
(-.f64 lambda1 lambda2)
1.0ms
R
Results
AccuracySegmentsBranch
33.3%1(-.f64 lambda1 lambda2)
33.3%1(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
33.3%1R
33.3%1(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
33.3%1(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
33.3%1lambda2
33.3%1lambda1
33.3%1phi1
33.3%1phi2
Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch15.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
4.765117423979102e-45
1.8550100901186612e-44
Samples
5.0ms61×0valid
4.0ms19×1valid
Compiler

Compiled 465 to 272 computations (41.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 1.0ms (14.3% of total)
adjust: 1.0ms (14.3% of total)
ival-hypot: 1.0ms (14.3% of total)
ival-sub: 1.0ms (14.3% of total)
ival-cos: 1.0ms (14.3% of total)
ival-mult: 1.0ms (14.3% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
-21.7MiB live, 24.0MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
1.543268446293009e-23
7.72790390805025e-22
Samples
11.0ms89×0valid
5.0ms23×1valid
Compiler

Compiled 686 to 400 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-hypot: 5.0ms (39.1% of total)
ival-cos: 2.0ms (15.7% of total)
ival-mult: 2.0ms (15.7% of total)
ival-add: 1.0ms (7.8% of total)
ival-div: 1.0ms (7.8% of total)
adjust: 1.0ms (7.8% of total)
ival-sub: 1.0ms (7.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-1.4456338963558015
-0.005877123395910743
Samples
8.0ms94×0valid
4.0ms18×1valid
Compiler

Compiled 714 to 414 computations (42% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-hypot: 2.0ms (23% of total)
ival-cos: 2.0ms (23% of total)
ival-add: 1.0ms (11.5% of total)
ival-div: 1.0ms (11.5% of total)
adjust: 1.0ms (11.5% of total)
ival-sub: 1.0ms (11.5% of total)
ival-mult: 1.0ms (11.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
-36.6MiB live, 13.7MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-1.4456338963558015
-0.005877123395910743
Samples
8.0ms55×0valid
2.0ms1valid
Compiler

Compiled 728 to 414 computations (43.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 4.0ms (48.7% of total)
ival-hypot: 1.0ms (12.2% of total)
ival-cos: 1.0ms (12.2% of total)
ival-mult: 1.0ms (12.2% of total)
ival-add: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.0684268364408242e-62
9.665618073822714e-61
Samples
9.0ms104×0valid
2.0ms1valid
Compiler

Compiled 518 to 295 computations (43.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-hypot: 2.0ms (28.4% of total)
ival-add: 1.0ms (14.2% of total)
ival-div: 1.0ms (14.2% of total)
ival-sub: 1.0ms (14.2% of total)
ival-cos: 1.0ms (14.2% of total)
ival-mult: 1.0ms (14.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify61.0ms (0.6%)

Memory
-6.5MiB live, 39.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086545
1136542
2276539
3678539
42316527
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 phi2 #s(literal 451951324947841/25108406941546723055343157692830665664409421777856138051584 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 8081706214372289/10633823966279326983230456482242756608 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))))
(if (<=.f64 phi1 #s(literal -4728779608739021/4503599627370496 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi1 #s(literal -2476979795053773/4503599627370496 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) lambda1)) phi2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (+.f64 (neg.f64 phi1) phi2))))
(if (<=.f64 phi2 #s(literal 6875155298465649/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))
Outputs
(if (<=.f64 phi2 #s(literal 451951324947841/25108406941546723055343157692830665664409421777856138051584 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 8081706214372289/10633823966279326983230456482242756608 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))))
(if (<=.f64 phi1 #s(literal -4728779608739021/4503599627370496 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi1 #s(literal -2476979795053773/4503599627370496 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) #s(approx (- lambda1 lambda2) lambda1)) phi2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (/ phi1 phi2) -1) 1) phi2) (+.f64 (neg.f64 phi1) phi2))))
(if (<=.f64 phi2 #s(literal 6875155298465649/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) phi2))

derivations348.0ms (3.5%)

Memory
-3.4MiB live, 179.0MiB allocated; 27ms collecting garbage
Stop Event
fuel
Compiler

Compiled 545 to 88 computations (83.9% saved)

preprocess59.0ms (0.6%)

Memory
29.8MiB live, 75.1MiB allocated; 3ms collecting garbage
Remove

(sort lambda1 lambda2)

(negabs R)

Compiler

Compiled 1 874 to 474 computations (74.7% saved)

end0.0ms (0%)

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

Profiling

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