Equirectangular approximation to distance on a great circle

Time bar (total: 10.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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)

sample2.0s (19.4%)

Memory
-11.1MiB live, 1 662.7MiB allocated; 290ms collecting garbage
Samples
914.0ms6 426×0valid
578.0ms1 830×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-hypot: 313.0ms (26.7% of total)
ival-mult: 250.0ms (21.4% of total)
ival-sub: 197.0ms (16.8% of total)
ival-div: 123.0ms (10.5% of total)
ival-cos: 120.0ms (10.3% of total)
adjust: 83.0ms (7.1% of total)
ival-add: 68.0ms (5.8% of total)
ival-true: 6.0ms (0.5% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain349.0ms (3.5%)

Memory
-5.7MiB live, 294.5MiB allocated; 42ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1850-2(8.885297371927883e-91 1.3454236833087018e-167 -2.4465664749586844e-162 -4.907756543513526e-285 1.5187647120103017e-218)(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))))
77112(-1.2165670699965835e-213 -1.1292638392269318e+197 3.6990710260317756e+82 4.790499719369318e+236 -1.4337549582496568e-105)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)))sensitivity1890
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-rescue1820
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))overflow114
(*.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)))))overflow122
(+.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)))overflow182
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-rescue10
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))underflow15
(*.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)))))underflow12
(+.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)))underflow1
Confusion
Predicted +Predicted -
+1111
-10836
Precision
0.5068493150684932
Recall
0.9910714285714286
Confusion?
Predicted +Predicted MaybePredicted -
+11101
-108036
Precision?
0.5068493150684932
Recall?
0.9910714285714286
Freqs
test
numberfreq
037
166
2153
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
134.0ms364×1valid
18.0ms148×0valid
Compiler

Compiled 346 to 55 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 28.0ms (23.6% of total)
ival-cos: 24.0ms (20.2% of total)
adjust: 19.0ms (16% of total)
ival-add: 19.0ms (16% of total)
ival-hypot: 13.0ms (10.9% of total)
ival-sub: 8.0ms (6.7% of total)
ival-div: 6.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess208.0ms (2.1%)

Memory
46.8MiB live, 132.5MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149675
1502669
21660669
35198669
01732
02832
16032
216232
344432
4116832
5237932
6519432
0808516
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
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(*.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)

simplify153.0ms (1.5%)

Memory
-2.6MiB live, 140.2MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
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
2162155
3444155
41168155
52379155
65194155
08085122
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 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.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 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(*.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)

localize114.0ms (1.1%)

Memory
-25.1MiB live, 157.9MiB allocated; 33ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.19921875
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
accuracy0.21484375
(*.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)))))
accuracy16.222689734091695
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
accuracy42.67724952012111
(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
89.0ms182×1valid
9.0ms74×0valid
Compiler

Compiled 157 to 19 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
adjust: 23.0ms (30.2% of total)
ival-cos: 23.0ms (30.2% of total)
ival-mult: 12.0ms (15.8% of total)
ival-hypot: 7.0ms (9.2% of total)
ival-sub: 4.0ms (5.3% of total)
ival-add: 4.0ms (5.3% of total)
ival-div: 3.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series77.0ms (0.8%)

Memory
13.3MiB live, 106.8MiB allocated; 5ms collecting garbage
Counts
6 → 171
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
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (* 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)))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(+ (* 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)))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(* 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)))))))))
(* 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))))))))))
(* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -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)))))
(* -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)))))
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (* 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)))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(+ (* 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)))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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)))))))))
(* 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))))))))))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
(* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -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)))))
(* -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)))))
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))
(+ (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (+ (* 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))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))))) (+ (* (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))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
(+ (* -1 (* phi1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* 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))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(cos (* 1/2 phi2))
(+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))
(+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))
(+ (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))))))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(+ (* -1/2 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* -1/8 (* phi1 (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* phi1 (+ (* -1/8 (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* 1/48 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* 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)))))))
(pow phi1 2)
(* (pow phi1 2) (+ 1 (* -2 (/ phi2 phi1))))
(* (pow phi1 2) (+ 1 (+ (* -2 (/ phi2 phi1)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) (/ (pow phi2 2) (pow phi1 2))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* 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)))))))
(* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))
(cos (* 1/2 (+ phi1 phi2)))
(* (cos (* 1/2 (+ phi1 phi2))) (- lambda1 lambda2))
(* -1 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -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)))))
(* (pow phi1 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) phi1)) (* 2 phi2)) phi1))))
(* -1 (* R phi1))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -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)))))
(* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* (cos (* 1/2 (- phi2 (* -1 phi1)))) (- lambda1 lambda2))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))
(+ (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (* (+ (* -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)) (pow phi1 2)))
(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (+ (* 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)) (pow phi1 2)))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))
(+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* 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)))
(+ (* 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)))
(cos (* 1/2 phi1))
(+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))
(+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))
(+ (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))))))
(* (cos (* 1/2 phi1)) (- lambda1 lambda2))
(+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))
(+ (* 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)))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* 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)))))))
(pow phi2 2)
(* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2))))
(* (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))))))
(* R phi2)
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* 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)))))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -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)))))
(* (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))))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -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)))))
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))
Calls

15 calls:

TimeVariablePointExpression
22.0ms
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))))
10.0ms
lambda2
@-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))))
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))))
4.0ms
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))))
4.0ms
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))))

simplify218.0ms (2.2%)

Memory
1.2MiB live, 188.2MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08847896
133797359
084306848
Stop Event
iter limit
node limit
Counts
171 → 169
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (* 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)))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(+ (* 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)))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(* 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)))))))))
(* 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))))))))))
(* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -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)))))
(* -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)))))
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (* 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)))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(+ (* 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)))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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)))))))))
(* 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))))))))))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
(* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -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)))))
(* -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)))))
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))
(+ (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (+ (* 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))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))))) (+ (* (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))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
(+ (* -1 (* phi1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* 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))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(cos (* 1/2 phi2))
(+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))
(+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))
(+ (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))))))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(+ (* -1/2 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* -1/8 (* phi1 (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* phi1 (+ (* -1/8 (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* 1/48 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* 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)))))))
(pow phi1 2)
(* (pow phi1 2) (+ 1 (* -2 (/ phi2 phi1))))
(* (pow phi1 2) (+ 1 (+ (* -2 (/ phi2 phi1)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) (/ (pow phi2 2) (pow phi1 2))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* 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)))))))
(* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))
(cos (* 1/2 (+ phi1 phi2)))
(* (cos (* 1/2 (+ phi1 phi2))) (- lambda1 lambda2))
(* -1 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -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)))))
(* (pow phi1 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) phi1)) (* 2 phi2)) phi1))))
(* -1 (* R phi1))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -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)))))
(* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* (cos (* 1/2 (- phi2 (* -1 phi1)))) (- lambda1 lambda2))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))
(+ (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (* (+ (* -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)) (pow phi1 2)))
(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (+ (* 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)) (pow phi1 2)))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))
(+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* 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)))
(+ (* 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)))
(cos (* 1/2 phi1))
(+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))
(+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1))))))
(+ (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))))))
(* (cos (* 1/2 phi1)) (- lambda1 lambda2))
(+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))
(+ (* 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)))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* 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)))))))
(pow phi2 2)
(* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2))))
(* (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))))))
(* R phi2)
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* 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)))))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -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)))))
(* (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))))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -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)))))
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R)
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))
(+ (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)))))))
(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)))
(+ (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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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) (*.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
(+ (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))))))))))
(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 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)))) (*.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)))))))) 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)))
(+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))
(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)))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (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 (+ (* -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)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda2 lambda1)) lambda1 (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 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)
(+ (* -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)))))
(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))
(+ (* 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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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))))))) (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #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))
(+ (* 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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (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 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)))) (*.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))))))))) lambda1 (*.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))
(* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 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)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda2 lambda1)) lambda1 (*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2)))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) 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)))) lambda1)
(* 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)))))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (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))))) lambda1)
(* 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))))))))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)
(* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda1 lambda1))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
(*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) #s(literal -2 binary64) (+.f64 (/.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))) (*.f64 lambda1 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 lambda1 lambda1))
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ 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)
(* 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)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (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)
(* 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))))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 R (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (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)
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
(*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 lambda2 lambda2) lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 lambda1 lambda1))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (neg.f64 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)))))
(* -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)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.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 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) lambda1)))
(* -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)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (neg.f64 lambda1))) lambda1)))
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) #s(literal 2 binary64) (/.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))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda1 lambda1))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 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))))
(* -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)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (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))))) (neg.f64 lambda1))))
(* -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)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))) (neg.f64 lambda1))) (neg.f64 lambda1))))
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 lambda2) lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1) (*.f64 (*.f64 #s(literal 2 binary64) lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) lambda1) #s(literal -1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda1 lambda1))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (neg.f64 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)))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))
(+ (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)))))))
(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)))
(+ (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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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) (*.f64 (neg.f64 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(+ (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))))))))))
(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 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)))) (*.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)))))))) 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)))
(+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))
(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)))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (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 (+ (* -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)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda1 lambda2)) lambda2 (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 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)
(+ (* -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)))))
(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 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 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
(+ (* 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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R 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))))))) (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #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))
(+ (* 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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (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 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)))) (*.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))))))))) 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))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 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)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda1 lambda2)) lambda2 (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* 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)))))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)
(* 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))))))))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(*.f64 (fma.f64 (*.f64 lambda1 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda2 lambda2))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
(*.f64 (fma.f64 (*.f64 lambda1 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) #s(literal -2 binary64) (+.f64 (/.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))) (*.f64 lambda2 lambda2)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 lambda2 lambda2))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ 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)
(* 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)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (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)
(* 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))))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 R (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (/.f64 R (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (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)
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
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(* -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)))))
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(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R)
(+ (* 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)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R phi1) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) 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 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R))
(+ (* 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)))))))))
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(+ (* 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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(* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
(*.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)))
(+ (* -1 (* phi1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(fma.f64 (neg.f64 phi1) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #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)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(fma.f64 (fma.f64 (*.f64 phi1 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi1 (*.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))))
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* 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))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (fma.f64 phi1 (*.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)) (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))))) phi1 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi1 (*.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))))
(cos (* 1/2 phi2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))
(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)))
(+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(+ (* -1/2 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)))
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* -1/8 (* phi1 (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal -1/2 binary64))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)))
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* phi1 (+ (* -1/8 (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* 1/48 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (-.f64 lambda1 lambda2) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) phi1) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal -1/8 binary64))) phi1)) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1)
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(fma.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 phi1 phi1))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi2) phi1)) phi1 phi1)
(* 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)))))))
(*.f64 (fma.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)) phi1) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1) (*.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 #s(literal 1 binary64) (/.f64 phi2 phi1))) phi1)
(pow phi1 2)
(*.f64 phi1 phi1)
(* (pow phi1 2) (+ 1 (* -2 (/ phi2 phi1))))
(*.f64 (fma.f64 (/.f64 phi2 phi1) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 phi1 phi1))
(* (pow phi1 2) (+ 1 (+ (* -2 (/ phi2 phi1)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) (/ (pow phi2 2) (pow phi1 2))))))
(*.f64 (+.f64 (/.f64 (fma.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 phi1 phi1)) (fma.f64 (/.f64 phi2 phi1) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 phi1 phi1))
(* R phi1)
(*.f64 R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) phi1)
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(*.f64 (fma.f64 (*.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)))) #s(literal 1/2 binary64) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))) phi1)
(* 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)))))))
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) (fma.f64 #s(literal 1/2 binary64) (*.f64 R (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 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #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 phi1 phi1))))) R)) phi1)
(* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))
(*.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)))
(cos (* 1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* (cos (* 1/2 (+ phi1 phi2))) (- lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 phi1)
(neg.f64 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
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(+ (* 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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 (*.f64 R phi2) (fma.f64 (*.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 #s(literal -1/2 binary64) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (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))) #s(literal 1/4 binary64))) (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)))))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (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))) #s(literal 1/4 binary64))) R)))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)))))) phi2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R))
(* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))
(*.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)))
(+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 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))))
(+ (* 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)))
(fma.f64 (fma.f64 (*.f64 phi2 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi2 (*.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))))
(+ (* 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)))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (fma.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)) (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))))) phi2 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi2 (*.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))))
(cos (* 1/2 phi1))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
(+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 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)))
(+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 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)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal -1/8 binary64))) phi2 (*.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)))
(* (cos (* 1/2 phi1)) (- lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))
(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)))
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))
(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)))
(+ (* 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)))
(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)))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(fma.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)) phi2 phi2)
(* 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)))))))
(*.f64 (fma.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)) phi2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) (*.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 #s(literal 1 binary64) (/.f64 phi1 phi2))) phi2)
(pow phi2 2)
(*.f64 phi2 phi2)
(* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2))))
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 phi2 phi2))
(* (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))))))
(*.f64 (+.f64 (/.f64 (fma.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 phi1 phi1)) (*.f64 phi2 phi2)) (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 phi2 phi2))
(* R phi2)
(*.f64 R phi2)
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2)
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(*.f64 (fma.f64 (*.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)))) #s(literal 1/2 binary64) (-.f64 R (*.f64 R (/.f64 phi1 phi2)))) phi2)
(* 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)))))))
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (fma.f64 #s(literal 1/2 binary64) (*.f64 R (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))))) R)) phi2)
(* -1 phi2)
(neg.f64 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.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)) phi2)) #s(literal -1/2 binary64) phi1) phi2)))
(* -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)))))
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (*.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)) phi2)) (*.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))))) phi2)) phi2)))
(* (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))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) phi1 (/.f64 (fma.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 phi1 phi1)) (neg.f64 phi2))) phi2)) (*.f64 phi2 phi2))
(* -1 (* R phi2))
(*.f64 (neg.f64 R) phi2)
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 R (*.f64 R (/.f64 phi1 phi2))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (fma.f64 (*.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)) phi2))) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2)))
(* -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)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (fma.f64 R phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.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 phi1 (*.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)) phi2)))))) (neg.f64 phi2))) phi2)))
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))
(*.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)))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))

rewrite222.0ms (2.2%)

Memory
18.0MiB live, 164.1MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017128
02886
110986
295386
0912376
Stop Event
iter limit
node limit
iter limit
Counts
6 → 535
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 (neg.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))) (neg.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))))
(*.f64 (fabs.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))) (fabs.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))))
(*.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 (exp.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))
(pow.f64 (*.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))) (+.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 (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)) #s(literal 2 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 (neg.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))))) (neg.f64 (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 (neg.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)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.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 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 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)))))
(/.f64 (sqrt.f64 (neg.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 (neg.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 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.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 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 6 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (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 4 binary64)) (*.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 (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 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) #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 phi1 phi2) (*.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 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 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (neg.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2)))))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (-.f64 phi2 phi1))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (-.f64 phi1 phi2))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fabs.f64 (-.f64 lambda2 lambda1))) (neg.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2)))))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fabs.f64 (-.f64 lambda2 lambda1))) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fabs.f64 (-.f64 lambda2 lambda1))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fabs.f64 (-.f64 lambda2 lambda1))) (-.f64 phi2 phi1))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fabs.f64 (-.f64 lambda2 lambda1))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fabs.f64 (-.f64 lambda2 lambda1))) (-.f64 phi1 phi2))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (neg.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2)))))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (-.f64 phi2 phi1))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 (-.f64 lambda1 lambda2))) (-.f64 phi1 phi2))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (-.f64 lambda1 lambda2)) (neg.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2)))))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (-.f64 lambda1 lambda2)) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (-.f64 lambda1 lambda2)) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (-.f64 lambda1 lambda2)) (-.f64 phi2 phi1))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (-.f64 lambda1 lambda2)) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (*.f64 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2))
(hypot.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (fabs.f64 (-.f64 lambda2 lambda1))) (neg.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2)))))
(hypot.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (fabs.f64 (-.f64 lambda2 lambda1))) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (fabs.f64 (-.f64 lambda2 lambda1))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (fabs.f64 (-.f64 lambda2 lambda1))) (-.f64 phi2 phi1))
(hypot.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (fabs.f64 (-.f64 lambda2 lambda1))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (fabs.f64 (-.f64 lambda2 lambda1))) (-.f64 phi1 phi2))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2)))))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (neg.f64 (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)) (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (-.f64 phi2 phi1))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (-.f64 phi1 phi2))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2)))))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (fabs.f64 (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)) (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (-.f64 phi2 phi1))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (fabs.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (-.f64 phi1 phi2))
(hypot.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2)))))
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(sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (neg.f64 (PI.f64))) #s(literal -2 binary64)))
(sin.f64 (/.f64 (+.f64 (PI.f64) (+.f64 phi2 phi1)) #s(literal 2 binary64)))
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(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))
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(*.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64)))
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(*.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (sqrt.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (sqrt.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))
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(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (fabs.f64 (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 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))
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(/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
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(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))
(exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64)) #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 1 binary64)))

eval801.0ms (8%)

Memory
-137.1MiB live, 131.1MiB allocated; 1.3s collecting garbage
Compiler

Compiled 38 741 to 3 554 computations (90.8% saved)

prune36.0ms (0.4%)

Memory
20.1MiB live, 65.7MiB allocated; 3ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New75624780
Fresh000
Picked101
Done000
Total75724781
Accuracy
95.3%
Counts
781 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(*.f64 R (hypot.f64 (-.f64 phi2 phi1) (exp.f64 (log.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))))
37.2%
(*.f64 R (sqrt.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
24.5%
(*.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))))))
24.5%
(*.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))))
21.5%
(*.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))))
71.5%
(*.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)))
68.7%
(*.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)))
13.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1)))
35.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)))
52.9%
(*.f64 R #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)))
52.5%
(*.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) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
22.2%
(*.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))))))
20.0%
(*.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))) lambda2)))
9.5%
(*.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)))
29.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
35.3%
#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))
54.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
12.5%
#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 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
20.0%
#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 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
21.0%
#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 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
9.5%
#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 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
52.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
37.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 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)))))
31.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
Compiler

Compiled 1 998 to 1 106 computations (44.6% saved)

simplify154.0ms (1.5%)

Memory
-37.8MiB live, 108.3MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1))
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 (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)))) lambda1)))
cost-diff1
(*.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)))) lambda1)
cost-diff4
(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))))
cost-diff0
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
cost-diff0
(*.f64 R lambda1)
cost-diff0
(*.f64 (*.f64 R lambda1) (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 lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
cost-diff0
(-.f64 R (*.f64 R (/.f64 phi2 phi1)))
cost-diff0
(neg.f64 phi1)
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
cost-diff3
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
cost-diff0
(*.f64 R phi2)
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R 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
048479
077479
1169479
2474479
31266479
43128457
55903454
08052342
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
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R phi2)
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 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
(neg.f64 phi1)
phi1
(-.f64 R (*.f64 R (/.f64 phi2 phi1)))
R
(*.f64 R (/.f64 phi2 phi1))
(/.f64 phi2 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 lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 R lambda1)
R
lambda1
(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)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) 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)))) 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))))
(neg.f64 lambda2)
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)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
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
#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))))) (*.f64 phi2 R))
(*.f64 R phi2)
(*.f64 phi2 R)
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 phi1) (-.f64 R (*.f64 R (/.f64 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 R) (fma.f64 phi2 #s(literal -1 binary64) phi1)))
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
(*.f64 (neg.f64 R) (fma.f64 phi2 #s(literal -1 binary64) phi1))
(neg.f64 phi1)
phi1
(-.f64 R (*.f64 R (/.f64 phi2 phi1)))
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
R
(*.f64 R (/.f64 phi2 phi1))
(*.f64 (/.f64 phi2 phi1) R)
(/.f64 phi2 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 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 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 lambda1 R)))
(*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 lambda1 R))
(*.f64 R lambda1)
(*.f64 lambda1 R)
R
lambda1
(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)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1)))
(*.f64 #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))) (-.f64 lambda1 (*.f64 (/.f64 lambda2 lambda1) lambda1)))) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1))
#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))) (-.f64 lambda1 (*.f64 (/.f64 lambda2 lambda1) 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)))) lambda1)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 lambda1 (*.f64 (/.f64 lambda2 lambda1) 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))))
(*.f64 (+.f64 (/.f64 (neg.f64 lambda2) lambda1) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 lambda2)
lambda2
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(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
lambda1

localize278.0ms (2.8%)

Memory
27.8MiB live, 258.0MiB allocated; 28ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.16015625
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
accuracy8.292660318667467
(*.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)))) lambda1)
accuracy16.222689734091695
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy53.96116966121402
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1))
accuracy0.015625
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
accuracy0.1796875
(*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
accuracy44.38747283291404
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
accuracy49.92142574900197
#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)))))
accuracy0.01953125
(-.f64 R (*.f64 R (/.f64 phi2 phi1)))
accuracy3.5915749356162485
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
accuracy6.1062235693287965
(*.f64 R (/.f64 phi2 phi1))
accuracy27.73328952642798
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
accuracy0.0
(*.f64 R phi2)
accuracy43.66255369487766
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
accuracy0.00390625
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
accuracy0.05859375
(*.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)))
accuracy0.12890625
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
accuracy24.606493483992843
#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
144.0ms188×1valid
61.0ms68×0valid
Compiler

Compiled 409 to 40 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-mult: 46.0ms (31.2% of total)
ival-cos: 42.0ms (28.5% of total)
adjust: 19.0ms (12.9% of total)
ival-hypot: 16.0ms (10.9% of total)
ival-div: 9.0ms (6.1% of total)
ival-add: 8.0ms (5.4% of total)
ival-sub: 4.0ms (2.7% of total)
ival-pi: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series109.0ms (1.1%)

Memory
0.6MiB live, 149.1MiB allocated; 42ms collecting garbage
Counts
22 → 237
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))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R phi2)
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
(neg.f64 phi1)
(-.f64 R (*.f64 R (/.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 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 R lambda1)
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.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))))
(*.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)))) lambda1)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1))
(*.f64 R (/.f64 phi2 phi1))
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R phi2)
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* R (- 1 (/ phi2 phi1)))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))
(* R lambda1)
(/ (* R phi2) phi1)
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* R (+ 1 (* -1 (/ phi2 phi1))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(* -1 (* lambda2 (cos (* -1/2 phi2))))
(+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))
(* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))
(/ (+ (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda1)
(* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))
(+ (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(/ (cos (* -1/2 (+ phi1 phi2))) lambda1)
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(* 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)))))))))
(* 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))))))))))
(* lambda1 (cos (* -1/2 phi2)))
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))))
(cos (* -1/2 (+ phi1 phi2)))
(+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))
(* lambda1 (cos (* -1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda1 (cos (* -1/2 phi2))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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)))))))))
(* 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))))))))))
(* lambda2 (cos (* -1/2 phi2)))
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))
(* 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)))))))))
(* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))
(* lambda2 (+ (* -1 (/ (cos (* -1/2 (+ phi1 phi2))) lambda1)) (/ (cos (* -1/2 (+ phi1 phi2))) lambda2)))
(* lambda2 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2)))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))
(* -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)))))
(* -1 (* lambda2 (+ (* -1 (/ (cos (* -1/2 (+ phi1 phi2))) lambda2)) (/ (cos (* -1/2 (+ phi1 phi2))) lambda1))))
(* -1 (* lambda2 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2)))))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (* -1 (* R phi1)) (* R phi2))
(* -1 phi1)
(* -1 (/ (* R phi2) phi1))
(/ (- (* R phi1) (* R phi2)) phi1)
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (+ (PI) (* -1/2 phi2))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))))))))
(cos (+ (PI) (* -1/2 phi2)))
(+ (cos (+ (PI) (* -1/2 phi2))) (* 1/2 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* -1/8 (* phi1 (cos (+ (PI) (* -1/2 phi2))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* phi1 (+ (* -1/8 (cos (+ (PI) (* -1/2 phi2)))) (* -1/48 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))
(+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* phi1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))))
(+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* phi1 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* -1/2 (sin (* -1/2 phi2)))))))
(+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* phi1 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (+ (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* phi1 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* 1/48 (sin (* -1/2 phi2))))))))) (* -1/2 (sin (* -1/2 phi2)))))))
(+ (* lambda1 (* phi1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))) (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(+ (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2))))))))
(+ (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) (* phi1 (+ (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* 1/48 (sin (* -1/2 phi2)))))) (* lambda1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))))))
(+ (PI) (* -1/2 phi2))
(+ (PI) (+ (* -1/2 phi1) (* -1/2 phi2)))
(cos (* -1/2 phi2))
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2))))))
(+ (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))))))
(/ (cos (* -1/2 phi2)) lambda1)
(+ (* 1/2 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)) (/ (cos (* -1/2 phi2)) lambda1))
(+ (* phi1 (+ (* -1/8 (/ (* phi1 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)))) (/ (cos (* -1/2 phi2)) lambda1))
(+ (* phi1 (+ (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)) (* phi1 (+ (* -1/8 (/ (cos (* -1/2 phi2)) lambda1)) (* -1/48 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)))))) (/ (cos (* -1/2 phi2)) lambda1))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* 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)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* 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)))))))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
R
(+ R (* -1 (/ (* R phi2) phi1)))
(cos (+ (PI) (* -1/2 (+ phi1 phi2))))
(* -1/2 phi1)
(* phi1 (- (+ (* -1/2 (/ phi2 phi1)) (/ (PI) phi1)) 1/2))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -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)))))
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -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)))))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))))
(cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))
(+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1)))
(* lambda1 (+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1))))
(* -1 (* phi1 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi2)) phi1)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(/ (cos (* -1/2 (- phi2 (* -1 phi1)))) lambda1)
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(- lambda1 lambda2)
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ 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)
(- (+ 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)
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (+ (PI) (* -1/2 phi1))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))))))
(cos (+ (PI) (* -1/2 phi1)))
(+ (cos (+ (PI) (* -1/2 phi1))) (* 1/2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))
(+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* -1/2 phi1))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))
(+ (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)))))))
(+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))
(+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))))
(+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* -1/2 (sin (* -1/2 phi1)))))))
(+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (+ (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1))))))))) (* -1/2 (sin (* -1/2 phi1)))))))
(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))
(+ (* lambda1 (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))) (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))
(+ (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))))))
(+ (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) (* phi2 (+ (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1)))))) (* lambda1 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))))))
(+ (PI) (* -1/2 phi1))
(cos (* -1/2 phi1))
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))
(+ (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))))))
(/ (cos (* -1/2 phi1)) lambda1)
(+ (* 1/2 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)) (/ (cos (* -1/2 phi1)) lambda1))
(+ (* phi2 (+ (* -1/8 (/ (* phi2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)))) (/ (cos (* -1/2 phi1)) lambda1))
(+ (* phi2 (+ (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)) (* phi2 (+ (* -1/8 (/ (cos (* -1/2 phi1)) lambda1)) (* -1/48 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)))))) (/ (cos (* -1/2 phi1)) lambda1))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* 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)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* 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)))))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* 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))))))
(* 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)))))))
(* (cos (* -1/2 phi2)) (- lambda1 lambda2))
(* phi2 (- (/ R phi2) (/ R phi1)))
(* -1/2 phi2)
(* phi2 (- (+ (* -1/2 (/ phi1 phi2)) (/ (PI) phi2)) 1/2))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -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)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -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)))))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -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)))))))
(* -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))))))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1)))))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))
(cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))
(+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))
(* lambda1 (+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1))))
(* -1 (* phi2 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi1)) phi2)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(/ (cos (* -1/2 (- phi1 (* -1 phi2)))) lambda1)
Calls

15 calls:

TimeVariablePointExpression
23.0ms
lambda2
@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))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (* 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)))) (* R (/ phi2 phi1)) (+ (* -1/2 (+ phi2 phi1)) (PI)) (cos (* -1/2 (+ phi2 phi1))) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1))
11.0ms
lambda1
@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))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (* 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)))) (* R (/ phi2 phi1)) (+ (* -1/2 (+ phi2 phi1)) (PI)) (cos (* -1/2 (+ phi2 phi1))) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1))
9.0ms
R
@-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))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (* 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)))) (* R (/ phi2 phi1)) (+ (* -1/2 (+ phi2 phi1)) (PI)) (cos (* -1/2 (+ phi2 phi1))) (/ (cos (* -1/2 (+ phi2 phi1))) 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))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (* 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)))) (* R (/ phi2 phi1)) (+ (* -1/2 (+ phi2 phi1)) (PI)) (cos (* -1/2 (+ phi2 phi1))) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1))
7.0ms
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))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (* 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)))) (* R (/ phi2 phi1)) (+ (* -1/2 (+ phi2 phi1)) (PI)) (cos (* -1/2 (+ phi2 phi1))) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1))

simplify241.0ms (2.4%)

Memory
9.8MiB live, 230.0MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012539312
146468657
083128044
Stop Event
iter limit
node limit
Counts
237 → 234
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R phi2)
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* R (- 1 (/ phi2 phi1)))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))
(* R lambda1)
(/ (* R phi2) phi1)
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* R (+ 1 (* -1 (/ phi2 phi1))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(* -1 (* lambda2 (cos (* -1/2 phi2))))
(+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))
(* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))
(/ (+ (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda1)
(* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))
(+ (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(/ (cos (* -1/2 (+ phi1 phi2))) lambda1)
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(* 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)))))))))
(* 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))))))))))
(* lambda1 (cos (* -1/2 phi2)))
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))))
(cos (* -1/2 (+ phi1 phi2)))
(+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))
(* lambda1 (cos (* -1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda1 (cos (* -1/2 phi2))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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)))))))))
(* 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))))))))))
(* lambda2 (cos (* -1/2 phi2)))
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))
(* 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)))))))))
(* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))
(* lambda2 (+ (* -1 (/ (cos (* -1/2 (+ phi1 phi2))) lambda1)) (/ (cos (* -1/2 (+ phi1 phi2))) lambda2)))
(* lambda2 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2)))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))
(* -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)))))
(* -1 (* lambda2 (+ (* -1 (/ (cos (* -1/2 (+ phi1 phi2))) lambda2)) (/ (cos (* -1/2 (+ phi1 phi2))) lambda1))))
(* -1 (* lambda2 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2)))))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (* -1 (* R phi1)) (* R phi2))
(* -1 phi1)
(* -1 (/ (* R phi2) phi1))
(/ (- (* R phi1) (* R phi2)) phi1)
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (+ (PI) (* -1/2 phi2))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))))))))
(cos (+ (PI) (* -1/2 phi2)))
(+ (cos (+ (PI) (* -1/2 phi2))) (* 1/2 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* -1/8 (* phi1 (cos (+ (PI) (* -1/2 phi2))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* phi1 (+ (* -1/8 (cos (+ (PI) (* -1/2 phi2)))) (* -1/48 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))
(+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* phi1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))))
(+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* phi1 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* -1/2 (sin (* -1/2 phi2)))))))
(+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* phi1 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (+ (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* phi1 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* 1/48 (sin (* -1/2 phi2))))))))) (* -1/2 (sin (* -1/2 phi2)))))))
(+ (* lambda1 (* phi1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))) (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(+ (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2))))))))
(+ (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) (* phi1 (+ (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* 1/48 (sin (* -1/2 phi2)))))) (* lambda1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))))))
(+ (PI) (* -1/2 phi2))
(+ (PI) (+ (* -1/2 phi1) (* -1/2 phi2)))
(cos (* -1/2 phi2))
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2))))))
(+ (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))))))
(/ (cos (* -1/2 phi2)) lambda1)
(+ (* 1/2 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)) (/ (cos (* -1/2 phi2)) lambda1))
(+ (* phi1 (+ (* -1/8 (/ (* phi1 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)))) (/ (cos (* -1/2 phi2)) lambda1))
(+ (* phi1 (+ (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)) (* phi1 (+ (* -1/8 (/ (cos (* -1/2 phi2)) lambda1)) (* -1/48 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)))))) (/ (cos (* -1/2 phi2)) lambda1))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* 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)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* 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)))))))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
R
(+ R (* -1 (/ (* R phi2) phi1)))
(cos (+ (PI) (* -1/2 (+ phi1 phi2))))
(* -1/2 phi1)
(* phi1 (- (+ (* -1/2 (/ phi2 phi1)) (/ (PI) phi1)) 1/2))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -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)))))
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -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)))))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))))
(cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))
(+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1)))
(* lambda1 (+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1))))
(* -1 (* phi1 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi2)) phi1)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(/ (cos (* -1/2 (- phi2 (* -1 phi1)))) lambda1)
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(- lambda1 lambda2)
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ 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)
(- (+ 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)
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (+ (PI) (* -1/2 phi1))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))))))
(cos (+ (PI) (* -1/2 phi1)))
(+ (cos (+ (PI) (* -1/2 phi1))) (* 1/2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))
(+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* -1/2 phi1))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))
(+ (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)))))))
(+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))
(+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))))
(+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* -1/2 (sin (* -1/2 phi1)))))))
(+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (+ (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1))))))))) (* -1/2 (sin (* -1/2 phi1)))))))
(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))
(+ (* lambda1 (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))) (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))
(+ (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))))))
(+ (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) (* phi2 (+ (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1)))))) (* lambda1 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))))))
(+ (PI) (* -1/2 phi1))
(cos (* -1/2 phi1))
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))
(+ (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))))))
(/ (cos (* -1/2 phi1)) lambda1)
(+ (* 1/2 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)) (/ (cos (* -1/2 phi1)) lambda1))
(+ (* phi2 (+ (* -1/8 (/ (* phi2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)))) (/ (cos (* -1/2 phi1)) lambda1))
(+ (* phi2 (+ (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)) (* phi2 (+ (* -1/8 (/ (cos (* -1/2 phi1)) lambda1)) (* -1/48 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)))))) (/ (cos (* -1/2 phi1)) lambda1))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* 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)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* 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)))))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* 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))))))
(* 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)))))))
(* (cos (* -1/2 phi2)) (- lambda1 lambda2))
(* phi2 (- (/ R phi2) (/ R phi1)))
(* -1/2 phi2)
(* phi2 (- (+ (* -1/2 (/ phi1 phi2)) (/ (PI) phi2)) 1/2))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -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)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -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)))))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -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)))))))
(* -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))))))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1)))))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))
(cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))
(+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))
(* lambda1 (+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1))))
(* -1 (* phi2 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi1)) phi2)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(/ (cos (* -1/2 (- phi1 (* -1 phi2)))) lambda1)
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R)
(* R phi2)
(*.f64 phi2 R)
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(*.f64 (neg.f64 R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1))
(* R (- 1 (/ phi2 phi1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R)
(* R (* lambda1 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(* R lambda1)
(*.f64 lambda1 R)
(/ (* R phi2) phi1)
(*.f64 R (/.f64 phi2 phi1))
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(*.f64 (neg.f64 R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1))
(* R (+ 1 (* -1 (/ phi2 phi1))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R)
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)
(+ (* -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)))))
(fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #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))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* 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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 lambda1 R) (-.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))))))) (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #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))
(+ (* 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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (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 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)))) (*.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))))))))) lambda1 (*.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))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))
(+ (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)))))))
(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)))
(+ (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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
(+ (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))))))))))
(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 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)))) (*.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)))))))) 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)))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2)
(+ (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)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))
(+ (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)))))))))
(fma.f64 (*.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)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) lambda1) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))
(+ (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))))))))))
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(* -1 (* lambda2 (cos (* -1/2 phi2))))
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(+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (+.f64 lambda1 (neg.f64 lambda2)))
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(*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)))
(/ (+ (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda1)
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))) lambda1)
(* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))
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(/ (cos (* -1/2 (+ phi1 phi2))) lambda1)
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
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(* 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)))))))
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(* 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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(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
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(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
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(* 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)))))))))
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(* 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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(* lambda1 (cos (* -1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
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(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (/.f64 phi2 lambda1) (/.f64 phi2 lambda1)) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda1)
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))))
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(cos (* -1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))
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(* lambda1 (cos (* -1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
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(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
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(* -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)))))))
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(* -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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(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
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(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
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(* -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)))))
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(* -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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(* -1 (* lambda1 (cos (* -1/2 phi2))))
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(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
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(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
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(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
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(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
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(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
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(+ (* -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)))))
(fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #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))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
(+ (* 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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R 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))))))) (neg.f64 (*.f64 (*.f64 lambda1 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #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))
(+ (* 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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (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 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)))) (*.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))))))))) lambda2 (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 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 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))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))
(+ (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)))))))
(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)))
(+ (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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(+ (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))))))))))
(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 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)))) (*.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)))))))) 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)))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)
(+ (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)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
(+ (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)))))))))
(fma.f64 (*.f64 (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)))) (fma.f64 #s(literal 1/2 binary64) (*.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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
(+ (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))))))))))
(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) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.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))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (*.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))))) (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 (*.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))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2)
(* 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)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2)))) lambda2)
(* 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))))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 R (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 R (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2)))) lambda2)
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* 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)))))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)
(* 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))))))))))
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(* lambda2 (cos (* -1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))
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(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))
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(* 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)))))))))
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(* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))
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(* lambda2 (+ (* -1 (/ (cos (* -1/2 (+ phi1 phi2))) lambda1)) (/ (cos (* -1/2 (+ phi1 phi2))) lambda2)))
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(* lambda2 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2)))
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(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
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(* -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)))))))
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(* -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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(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
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(* -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)))))
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(* -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)))))
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(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
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(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))
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(* -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)))))
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(* -1 (* lambda2 (+ (* -1 (/ (cos (* -1/2 (+ phi1 phi2))) lambda2)) (/ (cos (* -1/2 (+ phi1 phi2))) lambda1))))
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(* -1 (* lambda2 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2)))))
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(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
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(+ (* 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)))))))))
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(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
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(/ (cos (* -1/2 phi2)) lambda1)
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(+ (* 1/2 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)) (/ (cos (* -1/2 phi2)) lambda1))
(/.f64 (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))) lambda1)
(+ (* phi1 (+ (* -1/8 (/ (* phi1 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)))) (/ (cos (* -1/2 phi2)) lambda1))
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(+ (* phi1 (+ (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)) (* phi1 (+ (* -1/8 (/ (cos (* -1/2 phi2)) lambda1)) (* -1/48 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)))))) (/ (cos (* -1/2 phi2)) lambda1))
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(* R phi1)
(*.f64 phi1 R)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
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(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
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(* 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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phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
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(* 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)))))))
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(* -1 (* R phi1))
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(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
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R
(+ R (* -1 (/ (* R phi2) phi1)))
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(cos (+ (PI) (* -1/2 (+ phi1 phi2))))
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(* -1/2 phi1)
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(* -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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(+ (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)))))))))))
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(- lambda1 lambda2)
(-.f64 lambda1 lambda2)
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64) lambda1) lambda2)
(- (+ 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)
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 phi2 phi2) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(- (+ 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)
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (*.f64 phi2 phi2) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)
(-.f64 (fma.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 #s(literal 1/384 binary64) (*.f64 phi2 phi2) #s(literal -1/8 binary64))) (*.f64 phi2 phi2) lambda1) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(-.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi2 phi2) #s(literal 1/384 binary64))) (*.f64 phi2 phi2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))
(*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (+ (PI) (* -1/2 phi1))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))))))
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(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))))))
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(cos (+ (PI) (* -1/2 phi1)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))
(+ (cos (+ (PI) (* -1/2 phi1))) (* 1/2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* -1/2 phi1))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))) phi2 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (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)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) #s(literal -1/8 binary64))) phi2 (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))) phi2 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))
(fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* -1/2 (sin (* -1/2 phi1)))))))
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(+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (+ (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (+ (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1))))))))) (* -1/2 (sin (* -1/2 phi1)))))))
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(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)
(+ (* lambda1 (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))) (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))
(*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
(+ (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))))))
(fma.f64 (*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) phi2 (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1))
(+ (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) (* phi2 (+ (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1)))))) (* lambda1 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))))))
(fma.f64 (fma.f64 (*.f64 lambda1 (fma.f64 (*.f64 #s(literal 1/48 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) phi2 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda1)) phi2 (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1))
(+ (PI) (* -1/2 phi1))
(fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))
(cos (* -1/2 phi1))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 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)))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 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)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/8 binary64))) phi2 (*.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)))
(/ (cos (* -1/2 phi1)) lambda1)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)
(+ (* 1/2 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)) (/ (cos (* -1/2 phi1)) lambda1))
(/.f64 (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))) lambda1)
(+ (* phi2 (+ (* -1/8 (/ (* phi2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)))) (/ (cos (* -1/2 phi1)) lambda1))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda1) phi2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1))
(+ (* phi2 (+ (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)) (* phi2 (+ (* -1/8 (/ (cos (* -1/2 phi1)) lambda1)) (* -1/48 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)))))) (/ (cos (* -1/2 phi1)) lambda1))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/8 binary64))) lambda1) phi2 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) #s(literal 1/2 binary64))) phi2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) phi2)
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(*.f64 (fma.f64 (*.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)))) #s(literal 1/2 binary64) (-.f64 R (/.f64 (*.f64 phi1 R) phi2))) phi2)
(* 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)))))))
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (fma.f64 #s(literal 1/2 binary64) (*.f64 R (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))))) R)) phi2)
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(*.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 #s(literal 1 binary64) (/.f64 phi1 phi2))) phi2)
(* 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)))))))
(*.f64 (fma.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)) phi2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) (*.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 #s(literal 1 binary64) (/.f64 phi1 phi2))) phi2)
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(*.f64 (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)) phi2)
(* 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))))))
(*.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 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) #s(literal 1 binary64))) phi2)
(* 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)))))))
(*.f64 (+.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 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64))) (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))) phi2)
(* (cos (* -1/2 phi2)) (- lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(* phi2 (- (/ R phi2) (/ R phi1)))
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)
(* -1/2 phi2)
(*.f64 #s(literal -1/2 binary64) phi2)
(* phi2 (- (+ (* -1/2 (/ phi1 phi2)) (/ (PI) phi2)) 1/2))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)) phi2) #s(literal 1/2 binary64)) phi2)
(* -1 (* R phi2))
(*.f64 (neg.f64 phi2) R)
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (*.f64 phi1 R) phi2)))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (fma.f64 (*.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)) phi2))) #s(literal -1/2 binary64) (*.f64 phi1 R)) phi2)))
(* -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)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (fma.f64 phi1 R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.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 phi1 (*.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)) phi2)))))) (neg.f64 phi2))) phi2)))
(* -1 phi2)
(neg.f64 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.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)) phi2)) #s(literal -1/2 binary64) phi1) phi2)))
(* -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)))))
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (*.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)) phi2)) (*.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))))) phi2)) phi2)))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(*.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)))
(* -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)))))))
(*.f64 (neg.f64 phi2) (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 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) #s(literal 1 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))))))))
(*.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 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64))) (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))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(*.f64 (neg.f64 phi2) (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi1 phi2))))
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1)))))
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 R phi2) #s(literal -1 binary64) (/.f64 R phi1)))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))
(*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) 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))))
(* lambda1 (+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) 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)))) lambda1)
(* -1 (* phi2 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi1)) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)) phi2)))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(/ (cos (* -1/2 (- phi1 (* -1 phi2)))) lambda1)
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)

rewrite212.0ms (2.1%)

Memory
14.6MiB live, 206.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048431
077354
1299354
22552354
08336319
Stop Event
iter limit
node limit
iter limit
Counts
22 → 297
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))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R phi2)
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
(neg.f64 phi1)
(-.f64 R (*.f64 R (/.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 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 R lambda1)
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.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))))
(*.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)))) lambda1)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda1))
(*.f64 R (/.f64 phi2 phi1))
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) 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 (fabs.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))) (fabs.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))))
(*.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 (exp.f64 (log.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))
(pow.f64 (*.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) (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 (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)) #s(literal 2 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 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 phi2 phi2) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.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 (neg.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 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 phi2 #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (+.f64 (pow.f64 phi2 #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 (neg.f64 phi2) phi2))))))
(/.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 (pow.f64 phi2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64))))))
(/.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 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (exp.f64 (log.f64 phi2)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 phi2))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)
(hypot.f64 (exp.f64 (log.f64 phi2)) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (exp.f64 (log.f64 phi2)) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (exp.f64 (log.f64 phi2)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (exp.f64 (log.f64 phi2)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 (neg.f64 phi2)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))) (exp.f64 (log.f64 phi2)))
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))) (neg.f64 phi2))
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))) phi2)
(hypot.f64 (neg.f64 phi2) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.f64 phi2) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 phi2) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 phi2) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)) (exp.f64 (log.f64 phi2)))
(hypot.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)) (neg.f64 phi2))
(hypot.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)) phi2)
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2)))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 phi2))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)
(hypot.f64 phi2 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 phi2 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))))
(hypot.f64 phi2 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)))
(hypot.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(exp.f64 (*.f64 (log.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 (cosh.f64 (*.f64 (log.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))) (sinh.f64 (*.f64 (log.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 (fabs.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (fabs.f64 (fabs.f64 (-.f64 lambda2 lambda1))))
(*.f64 (fabs.f64 (fabs.f64 (-.f64 lambda2 lambda1))) (fabs.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 lambda1 lambda2)))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)))) (sqrt.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)))))
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))) (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 lambda1 lambda2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (sqrt.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 lambda1 lambda2)) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 1 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (fabs.f64 (-.f64 lambda2 lambda1)))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (fabs.f64 (+.f64 lambda2 lambda1)))
(/.f64 (fabs.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)))) (fabs.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (fabs.f64 (+.f64 lambda2 lambda1)))
(/.f64 (fabs.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))))) (fabs.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (sqrt.f64 (+.f64 lambda2 lambda1)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.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)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2))))
(fabs.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (-.f64 lambda1 lambda2)))
(fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 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 phi2 R))
(*.f64 phi2 R)
(*.f64 R phi2)
(*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) (neg.f64 phi1))
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 (/.f64 phi2 phi1) R)))
(*.f64 phi1 (neg.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R))))
(/.f64 (*.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (neg.f64 phi1)) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 (*.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (neg.f64 phi1)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))
(/.f64 (*.f64 (neg.f64 phi1) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 (*.f64 (neg.f64 phi1) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))
(neg.f64 (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) phi1))
(fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi1) (*.f64 (neg.f64 R) (/.f64 phi2 phi1))))
(fma.f64 R (neg.f64 phi1) (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) (neg.f64 phi1)))
(+.f64 (*.f64 R (neg.f64 phi1)) (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) (neg.f64 phi1)))
(+.f64 (*.f64 (neg.f64 phi1) R) (*.f64 (neg.f64 phi1) (*.f64 (neg.f64 R) (/.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 (*.f64 (/.f64 phi2 phi1) R)) (neg.f64 phi1)))
(neg.f64 phi1)
(/.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 R R (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R (*.f64 (neg.f64 R) (/.f64 phi2 phi1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)))
(/.f64 (neg.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))))
(/.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)
(-.f64 (/.f64 (*.f64 R R) (fma.f64 (/.f64 phi2 phi1) R R)) (/.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)))
(-.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))) (/.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))))
(-.f64 R (*.f64 (neg.f64 (neg.f64 R)) (/.f64 phi2 phi1)))
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
(+.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) R)
(+.f64 R (*.f64 (neg.f64 (/.f64 phi2 phi1)) R))
(+.f64 R (*.f64 (neg.f64 R) (/.f64 phi2 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 lambda1 R)))
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R) lambda1)
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) lambda1) R)
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 lambda1 R))
(*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 lambda1 (*.f64 R (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(*.f64 R (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) lambda1))
(neg.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda1 R)))
(*.f64 lambda1 R)
(*.f64 R lambda1)
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))))
(neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64)))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) (PI.f64))))))
(fma.f64 (sin.f64 (neg.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(fma.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 0 binary64)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (-.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) phi2))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 0 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(cos.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (PI.f64))))
(cos.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (PI.f64)))
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64)))))
(cos.f64 (+.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (*.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)))
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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 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1))
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(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) #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 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(fma.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 (neg.f64 phi1) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 (neg.f64 phi1) #s(literal -1/2 binary64)))))
(fma.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))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.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) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(-.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 (neg.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(-.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 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 (neg.f64 phi1) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 (neg.f64 phi1) #s(literal -1/2 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))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) (neg.f64 (neg.f64 lambda1)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (neg.f64 lambda1))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) lambda1))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)))
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (neg.f64 lambda1)))

eval155.0ms (1.5%)

Memory
-11.4MiB live, 134.7MiB allocated; 17ms collecting garbage
Compiler

Compiled 35 577 to 2 933 computations (91.8% saved)

prune73.0ms (0.7%)

Memory
11.5MiB live, 103.9MiB allocated; 5ms collecting garbage
Pruning

44 alts after pruning (43 fresh and 1 done)

PrunedKeptTotal
New51831549
Fresh71219
Picked415
Done000
Total52944573
Accuracy
96.5%
Counts
573 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.2%
(*.f64 R (sqrt.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
24.5%
(*.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))))))
24.5%
(*.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))))
21.5%
(*.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))))
61.2%
(*.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))) (exp.f64 (log.f64 phi2)))))
20.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)))
68.7%
(*.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)))
19.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)))
52.6%
(*.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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi2)))
13.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (fma.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)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)))
13.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)))
15.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) 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))))) lambda1)))
52.9%
(*.f64 R #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)))
52.5%
(*.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) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
11.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
22.2%
(*.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))))))
9.5%
(*.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)))
10.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda1)))
29.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
17.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (fma.f64 (*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) phi2 (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))))
15.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))))))
53.9%
(*.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))))
53.8%
(*.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))
37.3%
(*.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 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))))
39.1%
(*.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) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))))
24.1%
(*.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))))))
20.4%
(*.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)) lambda2))))
4.7%
(*.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)) lambda1))))
35.3%
#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 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2))
54.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
12.5%
#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 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
20.0%
#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 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
22.9%
#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 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))))
21.1%
#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 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))))))
22.6%
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))))
4.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
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) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi1)))))
55.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1))))
55.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
55.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
37.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 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)))))
31.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
52.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
56.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
Compiler

Compiled 4 528 to 2 435 computations (46.2% saved)

simplify150.0ms (1.5%)

Memory
6.5MiB live, 101.7MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))))
cost-diff2
(fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
cost-diff4
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
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
#s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))
cost-diff0
(neg.f64 phi1)
cost-diff0
(*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
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-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
cost-diff0
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
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) phi1)) (-.f64 lambda1 lambda2)) phi1))
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) phi1)) (-.f64 lambda1 lambda2)) phi1)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063618
095618
1218618
2626618
31616614
43924592
57040592
08130428
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) phi1)) (-.f64 lambda1 lambda2)) phi1)))
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))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 #s(literal 1/2 binary64) phi1)
#s(literal 1/2 binary64)
phi1
(-.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
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
(*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))
(neg.f64 phi1)
phi1
#s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)
(-.f64 (/.f64 R phi2) (/.f64 R phi1))
(/.f64 R phi2)
R
phi2
(/.f64 R 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 (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)
(*.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) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(neg.f64 lambda1)
lambda1
(fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(neg.f64 lambda2)
lambda2
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
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 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) phi1)) 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) phi1)) (-.f64 lambda1 lambda2)) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) phi1))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(hypot.f64 (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) phi1)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 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
(-.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
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)) (neg.f64 phi1)))
(*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))
(*.f64 #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)) (neg.f64 phi1))
(neg.f64 phi1)
phi1
#s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)
(-.f64 (/.f64 R phi2) (/.f64 R phi1))
(/.f64 R phi2)
R
phi2
(/.f64 R 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 (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 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 lambda2 R)))
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (*.f64 lambda2 R))
(*.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)
(*.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) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 (*.f64 lambda2 #s(literal 1 binary64)) lambda1)))) 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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 (*.f64 lambda2 #s(literal 1 binary64)) lambda1))))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 (*.f64 lambda2 #s(literal 1 binary64)) lambda1)))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 (*.f64 lambda2 #s(literal 1 binary64)) lambda1))
(neg.f64 lambda1)
lambda1
(fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(*.f64 (+.f64 (/.f64 (neg.f64 lambda2) lambda1) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(neg.f64 lambda2)
lambda2
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2

localize293.0ms (2.9%)

Memory
-10.2MiB live, 273.2MiB allocated; 23ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.171875
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)
accuracy8.27423541839642
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
accuracy24.606493483992843
#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) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
accuracy26.513578321894244
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
accuracy0.015625
(fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
accuracy0.174160009768442
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
accuracy44.384123859773396
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
accuracy55.802156318432516
#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)))))
accuracy1.257802179151029
(-.f64 (/.f64 R phi2) (/.f64 R phi1))
accuracy3.5915749356162485
(*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))
accuracy11.942645884398967
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)
accuracy27.73328952642798
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
accuracy0.0
(neg.f64 phi1)
accuracy0.05859375
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
accuracy48.23541111712699
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
accuracy0.00390625
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
accuracy0.05859375
(*.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)))
accuracy0.1328125
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
accuracy25.346246921322532
#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))
Samples
224.0ms188×1valid
24.0ms68×0valid
Compiler

Compiled 459 to 50 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-mult: 67.0ms (31.3% of total)
adjust: 48.0ms (22.4% of total)
ival-cos: 45.0ms (21% of total)
ival-hypot: 23.0ms (10.7% of total)
ival-div: 13.0ms (6.1% of total)
ival-add: 8.0ms (3.7% of total)
ival-sub: 6.0ms (2.8% of total)
ival-neg: 3.0ms (1.4% of total)
ival-pi: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series105.0ms (1%)

Memory
-2.7MiB live, 92.1MiB allocated; 13ms collecting garbage
Counts
23 → 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) phi1)) (-.f64 lambda1 lambda2)) phi1)))
#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))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 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)))
#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)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
(*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))
#s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R 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) (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)))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) 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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)
(-.f64 (/.f64 R phi2) (/.f64 R phi1))
(fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* R (- 1 (/ phi2 phi1)))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))))
(* R lambda2)
(* R (* phi2 (- (/ 1 phi2) (/ 1 phi1))))
(* R (- (/ 1 phi2) (/ 1 phi1)))
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* R (+ 1 (* -1 (/ phi2 phi1))))
(* -1 (* R (* phi2 (- (/ 1 phi1) (/ 1 phi2)))))
(* -1 (* R (- (/ 1 phi1) (/ 1 phi2))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(* -1 (* lambda2 (cos (* 1/2 phi1))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* lambda1 (cos (* 1/2 phi1))))
(* lambda2 (cos (* 1/2 phi2)))
(+ (* -1 (* lambda1 (cos (* 1/2 phi2)))) (* lambda2 (cos (* 1/2 phi2))))
(* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))
(/ (+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2)))) lambda1)
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(/ (cos (* 1/2 phi2)) lambda1)
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(* 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)))))))))
(* 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))))))))))
(* lambda1 (cos (* 1/2 phi1)))
(* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1))))))))
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1)))))))))
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))
(cos (* 1/2 phi2))
(+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))
(* lambda1 (cos (* -1/2 phi2)))
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda1 (cos (* 1/2 phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* 1/2 phi1))))) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda1)) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (cos (* -1/2 phi2))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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)))))))))
(* 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))))))))))
(* lambda2 (cos (* 1/2 phi1)))
(* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2))))
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1))))))))
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1)))))))))
(* lambda2 (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))
(* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(* lambda2 (+ (* -1 (/ (cos (* 1/2 phi2)) lambda1)) (/ (cos (* 1/2 phi2)) lambda2)))
(* lambda2 (cos (* -1/2 phi2)))
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))
(* 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)))))))))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* 1/2 phi1))))) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda2)) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(* -1 (* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(* -1 (* lambda2 (+ (* -1 (/ (cos (* 1/2 phi2)) lambda2)) (/ (cos (* 1/2 phi2)) lambda1))))
(* -1 (* lambda2 (cos (* -1/2 phi2))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))
(* -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)))))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(- lambda1 lambda2)
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(* -1 phi1)
(* R phi2)
(+ (* -1 (* R phi1)) (* R phi2))
(* -1 (/ (* R phi2) phi1))
(/ (- (* R phi1) (* R phi2)) phi1)
(* R (* lambda2 (cos (+ (PI) (* 1/2 phi2)))))
(+ (* -1/2 (* R (* lambda2 (* phi1 (sin (+ (PI) (* 1/2 phi2))))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 phi2))))))
(+ (* R (* lambda2 (cos (+ (PI) (* 1/2 phi2))))) (* phi1 (+ (* -1/2 (* R (* lambda2 (sin (+ (PI) (* 1/2 phi2)))))) (* -1/8 (* R (* lambda2 (* phi1 (cos (+ (PI) (* 1/2 phi2))))))))))
(+ (* 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))))))))))))
(cos (+ (PI) (* 1/2 phi2)))
(+ (cos (+ (PI) (* 1/2 phi2))) (* -1/2 (* phi1 (sin (+ (PI) (* 1/2 phi2))))))
(+ (cos (+ (PI) (* 1/2 phi2))) (* phi1 (- (* -1/8 (* phi1 (cos (+ (PI) (* 1/2 phi2))))) (* 1/2 (sin (+ (PI) (* 1/2 phi2)))))))
(+ (cos (+ (PI) (* 1/2 phi2))) (* phi1 (- (* phi1 (+ (* -1/8 (cos (+ (PI) (* 1/2 phi2)))) (* 1/48 (* phi1 (sin (+ (PI) (* 1/2 phi2))))))) (* 1/2 (sin (+ (PI) (* 1/2 phi2)))))))
(/ (+ (* -1 (* R phi2)) (* R phi1)) phi1)
(* -1 (/ R phi1))
(/ (- (/ (* R phi1) phi2) R) phi1)
(+ (PI) (* 1/2 phi2))
(+ (PI) (+ (* 1/2 phi1) (* 1/2 phi2)))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* 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)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* 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)))))))
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* (cos (* 1/2 phi1)) (- lambda1 lambda2))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
R
(+ R (* -1 (/ (* R phi2) phi1)))
(cos (+ (PI) (* 1/2 (+ phi1 phi2))))
(/ R phi2)
(+ (* -1 (/ R phi1)) (/ R phi2))
(* 1/2 phi1)
(* phi1 (+ 1/2 (+ (* 1/2 (/ phi2 phi1)) (/ (PI) phi1))))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -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)))))
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -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)))))
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))))
(cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))
(* -1 (* phi1 (- (* -1 (/ (+ (PI) (* 1/2 phi2)) phi1)) 1/2)))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(* R (* lambda2 (cos (+ (PI) (* 1/2 phi1)))))
(+ (* -1/2 (* R (* lambda2 (* phi2 (sin (+ (PI) (* 1/2 phi1))))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 phi1))))))
(+ (* R (* lambda2 (cos (+ (PI) (* 1/2 phi1))))) (* phi2 (+ (* -1/2 (* R (* lambda2 (sin (+ (PI) (* 1/2 phi1)))))) (* -1/8 (* R (* lambda2 (* phi2 (cos (+ (PI) (* 1/2 phi1))))))))))
(+ (* 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))))))))))))
(cos (+ (PI) (* 1/2 phi1)))
(+ (cos (+ (PI) (* 1/2 phi1))) (* -1/2 (* phi2 (sin (+ (PI) (* 1/2 phi1))))))
(+ (cos (+ (PI) (* 1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* 1/2 phi1))))) (* 1/2 (sin (+ (PI) (* 1/2 phi1)))))))
(+ (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)))))))
(* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1)))))
(+ (* -1 (* lambda1 (* (pow phi2 2) (- (* 1/8 (/ lambda2 lambda1)) 1/8)))) (* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))))
(+ (* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))) (* (pow phi2 2) (+ (* -1 (* lambda1 (* (pow phi2 2) (+ 1/384 (* -1/384 (/ lambda2 lambda1)))))) (* -1 (* lambda1 (- (* 1/8 (/ lambda2 lambda1)) 1/8))))))
(+ (* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))) (* (pow phi2 2) (+ (* -1 (* lambda1 (- (* 1/8 (/ lambda2 lambda1)) 1/8))) (* (pow phi2 2) (+ (* -1 (* lambda1 (* (pow phi2 2) (- (* 1/46080 (/ lambda2 lambda1)) 1/46080)))) (* -1 (* lambda1 (+ 1/384 (* -1/384 (/ lambda2 lambda1))))))))))
(+ 1 (* -1 (/ lambda2 lambda1)))
(+ 1 (+ (* -1 (/ lambda2 lambda1)) (* (pow phi2 2) (- (* 1/8 (/ lambda2 lambda1)) 1/8))))
(+ 1 (+ (* -1 (/ lambda2 lambda1)) (* (pow phi2 2) (- (+ (* 1/8 (/ lambda2 lambda1)) (* (pow phi2 2) (+ 1/384 (* -1/384 (/ lambda2 lambda1))))) 1/8))))
(+ 1 (+ (* -1 (/ lambda2 lambda1)) (* (pow phi2 2) (- (+ (* 1/8 (/ lambda2 lambda1)) (* (pow phi2 2) (+ 1/384 (+ (* -1/384 (/ lambda2 lambda1)) (* (pow phi2 2) (- (* 1/46080 (/ lambda2 lambda1)) 1/46080)))))) 1/8))))
(/ (+ R (* -1 (/ (* R phi2) phi1))) phi2)
(+ (PI) (* 1/2 phi1))
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ 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)
(- (+ 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)
(/ 1 lambda1)
(+ (* -1/8 (/ (pow phi2 2) lambda1)) (/ 1 lambda1))
(+ (* (pow phi2 2) (- (* 1/384 (/ (pow phi2 2) lambda1)) (* 1/8 (/ 1 lambda1)))) (/ 1 lambda1))
(+ (* (pow phi2 2) (- (* (pow phi2 2) (+ (* -1/46080 (/ (pow phi2 2) lambda1)) (* 1/384 (/ 1 lambda1)))) (* 1/8 (/ 1 lambda1)))) (/ 1 lambda1))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* 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)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* 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)))))))
(* phi2 (- (/ R phi2) (/ R phi1)))
(* phi2 (+ (* -1 (/ R phi1)) (/ R phi2)))
(- (/ R phi2) (/ R phi1))
(* 1/2 phi2)
(* phi2 (+ 1/2 (+ (* 1/2 (/ phi1 phi2)) (/ (PI) phi2))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* 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))))))
(* 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)))))))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -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)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -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)))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1)))))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))))
(cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))
(* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))
(* -1 (* phi2 (- (* -1 (/ (+ (PI) (* 1/2 phi1)) phi2)) 1/2)))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -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)))))))
(* -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))))))))
Calls

15 calls:

TimeVariablePointExpression
26.0ms
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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* 1/2 phi1)) (- 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)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (- R (* R (/ phi2 phi1))) (* 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))) (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 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)))) (* (- (/ R phi2) (/ R phi1)) phi2) (- (/ R phi2) (/ R phi1)) (+ (* 1/2 (+ phi2 phi1)) (PI)) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (/ (cos (* 1/2 phi2)) lambda1))
16.0ms
R
@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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* 1/2 phi1)) (- 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)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (- R (* R (/ phi2 phi1))) (* 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))) (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 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)))) (* (- (/ R phi2) (/ R phi1)) phi2) (- (/ R phi2) (/ R phi1)) (+ (* 1/2 (+ phi2 phi1)) (PI)) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (/ (cos (* 1/2 phi2)) lambda1))
7.0ms
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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* 1/2 phi1)) (- 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)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (- R (* R (/ phi2 phi1))) (* 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))) (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 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)))) (* (- (/ R phi2) (/ R phi1)) phi2) (- (/ R phi2) (/ R phi1)) (+ (* 1/2 (+ phi2 phi1)) (PI)) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (/ (cos (* 1/2 phi2)) lambda1))
5.0ms
lambda2
@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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* 1/2 phi1)) (- 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)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (- R (* R (/ phi2 phi1))) (* 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))) (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 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)))) (* (- (/ R phi2) (/ R phi1)) phi2) (- (/ R phi2) (/ R phi1)) (+ (* 1/2 (+ phi2 phi1)) (PI)) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (/ (cos (* 1/2 phi2)) lambda1))
5.0ms
lambda1
@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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* 1/2 phi1)) (- 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)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (- R (* R (/ phi2 phi1))) (* 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))) (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 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)))) (* (- (/ R phi2) (/ R phi1)) phi2) (- (/ R phi2) (/ R phi1)) (+ (* 1/2 (+ phi2 phi1)) (PI)) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (/ (cos (* 1/2 phi2)) lambda1))

simplify228.0ms (2.3%)

Memory
34.9MiB live, 175.6MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136310035
150569336
084408660
Stop Event
iter limit
node limit
Counts
255 → 252
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* R (- 1 (/ phi2 phi1)))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))))
(* R lambda2)
(* R (* phi2 (- (/ 1 phi2) (/ 1 phi1))))
(* R (- (/ 1 phi2) (/ 1 phi1)))
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* R (+ 1 (* -1 (/ phi2 phi1))))
(* -1 (* R (* phi2 (- (/ 1 phi1) (/ 1 phi2)))))
(* -1 (* R (- (/ 1 phi1) (/ 1 phi2))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(* -1 (* lambda2 (cos (* 1/2 phi1))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* lambda1 (cos (* 1/2 phi1))))
(* lambda2 (cos (* 1/2 phi2)))
(+ (* -1 (* lambda1 (cos (* 1/2 phi2)))) (* lambda2 (cos (* 1/2 phi2))))
(* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))
(/ (+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2)))) lambda1)
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(/ (cos (* 1/2 phi2)) lambda1)
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(* 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)))))))))
(* 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))))))))))
(* lambda1 (cos (* 1/2 phi1)))
(* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1))))))))
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1)))))))))
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))
(cos (* 1/2 phi2))
(+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))
(* lambda1 (cos (* -1/2 phi2)))
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda1 (cos (* 1/2 phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* 1/2 phi1))))) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda1)) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (cos (* -1/2 phi2))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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)))))))))
(* 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))))))))))
(* lambda2 (cos (* 1/2 phi1)))
(* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2))))
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1))))))))
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1)))))))))
(* lambda2 (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))
(* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(* lambda2 (+ (* -1 (/ (cos (* 1/2 phi2)) lambda1)) (/ (cos (* 1/2 phi2)) lambda2)))
(* lambda2 (cos (* -1/2 phi2)))
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))
(* 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)))))))))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* 1/2 phi1))))) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda2)) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(* -1 (* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(* -1 (* lambda2 (+ (* -1 (/ (cos (* 1/2 phi2)) lambda2)) (/ (cos (* 1/2 phi2)) lambda1))))
(* -1 (* lambda2 (cos (* -1/2 phi2))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))
(* -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)))))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(- lambda1 lambda2)
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(* -1 phi1)
(* R phi2)
(+ (* -1 (* R phi1)) (* R phi2))
(* -1 (/ (* R phi2) phi1))
(/ (- (* R phi1) (* R phi2)) phi1)
(* R (* lambda2 (cos (+ (PI) (* 1/2 phi2)))))
(+ (* -1/2 (* R (* lambda2 (* phi1 (sin (+ (PI) (* 1/2 phi2))))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 phi2))))))
(+ (* R (* lambda2 (cos (+ (PI) (* 1/2 phi2))))) (* phi1 (+ (* -1/2 (* R (* lambda2 (sin (+ (PI) (* 1/2 phi2)))))) (* -1/8 (* R (* lambda2 (* phi1 (cos (+ (PI) (* 1/2 phi2))))))))))
(+ (* 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))))))))))))
(cos (+ (PI) (* 1/2 phi2)))
(+ (cos (+ (PI) (* 1/2 phi2))) (* -1/2 (* phi1 (sin (+ (PI) (* 1/2 phi2))))))
(+ (cos (+ (PI) (* 1/2 phi2))) (* phi1 (- (* -1/8 (* phi1 (cos (+ (PI) (* 1/2 phi2))))) (* 1/2 (sin (+ (PI) (* 1/2 phi2)))))))
(+ (cos (+ (PI) (* 1/2 phi2))) (* phi1 (- (* phi1 (+ (* -1/8 (cos (+ (PI) (* 1/2 phi2)))) (* 1/48 (* phi1 (sin (+ (PI) (* 1/2 phi2))))))) (* 1/2 (sin (+ (PI) (* 1/2 phi2)))))))
(/ (+ (* -1 (* R phi2)) (* R phi1)) phi1)
(* -1 (/ R phi1))
(/ (- (/ (* R phi1) phi2) R) phi1)
(+ (PI) (* 1/2 phi2))
(+ (PI) (+ (* 1/2 phi1) (* 1/2 phi2)))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* 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)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* 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)))))))
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* (cos (* 1/2 phi1)) (- lambda1 lambda2))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
R
(+ R (* -1 (/ (* R phi2) phi1)))
(cos (+ (PI) (* 1/2 (+ phi1 phi2))))
(/ R phi2)
(+ (* -1 (/ R phi1)) (/ R phi2))
(* 1/2 phi1)
(* phi1 (+ 1/2 (+ (* 1/2 (/ phi2 phi1)) (/ (PI) phi1))))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -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)))))
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -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)))))
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))))
(cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))
(* -1 (* phi1 (- (* -1 (/ (+ (PI) (* 1/2 phi2)) phi1)) 1/2)))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(* R (* lambda2 (cos (+ (PI) (* 1/2 phi1)))))
(+ (* -1/2 (* R (* lambda2 (* phi2 (sin (+ (PI) (* 1/2 phi1))))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 phi1))))))
(+ (* R (* lambda2 (cos (+ (PI) (* 1/2 phi1))))) (* phi2 (+ (* -1/2 (* R (* lambda2 (sin (+ (PI) (* 1/2 phi1)))))) (* -1/8 (* R (* lambda2 (* phi2 (cos (+ (PI) (* 1/2 phi1))))))))))
(+ (* 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))))))))))))
(cos (+ (PI) (* 1/2 phi1)))
(+ (cos (+ (PI) (* 1/2 phi1))) (* -1/2 (* phi2 (sin (+ (PI) (* 1/2 phi1))))))
(+ (cos (+ (PI) (* 1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* 1/2 phi1))))) (* 1/2 (sin (+ (PI) (* 1/2 phi1)))))))
(+ (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)))))))
(* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1)))))
(+ (* -1 (* lambda1 (* (pow phi2 2) (- (* 1/8 (/ lambda2 lambda1)) 1/8)))) (* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))))
(+ (* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))) (* (pow phi2 2) (+ (* -1 (* lambda1 (* (pow phi2 2) (+ 1/384 (* -1/384 (/ lambda2 lambda1)))))) (* -1 (* lambda1 (- (* 1/8 (/ lambda2 lambda1)) 1/8))))))
(+ (* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))) (* (pow phi2 2) (+ (* -1 (* lambda1 (- (* 1/8 (/ lambda2 lambda1)) 1/8))) (* (pow phi2 2) (+ (* -1 (* lambda1 (* (pow phi2 2) (- (* 1/46080 (/ lambda2 lambda1)) 1/46080)))) (* -1 (* lambda1 (+ 1/384 (* -1/384 (/ lambda2 lambda1))))))))))
(+ 1 (* -1 (/ lambda2 lambda1)))
(+ 1 (+ (* -1 (/ lambda2 lambda1)) (* (pow phi2 2) (- (* 1/8 (/ lambda2 lambda1)) 1/8))))
(+ 1 (+ (* -1 (/ lambda2 lambda1)) (* (pow phi2 2) (- (+ (* 1/8 (/ lambda2 lambda1)) (* (pow phi2 2) (+ 1/384 (* -1/384 (/ lambda2 lambda1))))) 1/8))))
(+ 1 (+ (* -1 (/ lambda2 lambda1)) (* (pow phi2 2) (- (+ (* 1/8 (/ lambda2 lambda1)) (* (pow phi2 2) (+ 1/384 (+ (* -1/384 (/ lambda2 lambda1)) (* (pow phi2 2) (- (* 1/46080 (/ lambda2 lambda1)) 1/46080)))))) 1/8))))
(/ (+ R (* -1 (/ (* R phi2) phi1))) phi2)
(+ (PI) (* 1/2 phi1))
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ 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)
(- (+ 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)
(/ 1 lambda1)
(+ (* -1/8 (/ (pow phi2 2) lambda1)) (/ 1 lambda1))
(+ (* (pow phi2 2) (- (* 1/384 (/ (pow phi2 2) lambda1)) (* 1/8 (/ 1 lambda1)))) (/ 1 lambda1))
(+ (* (pow phi2 2) (- (* (pow phi2 2) (+ (* -1/46080 (/ (pow phi2 2) lambda1)) (* 1/384 (/ 1 lambda1)))) (* 1/8 (/ 1 lambda1)))) (/ 1 lambda1))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* 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)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* 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)))))))
(* phi2 (- (/ R phi2) (/ R phi1)))
(* phi2 (+ (* -1 (/ R phi1)) (/ R phi2)))
(- (/ R phi2) (/ R phi1))
(* 1/2 phi2)
(* phi2 (+ 1/2 (+ (* 1/2 (/ phi1 phi2)) (/ (PI) phi2))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* 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))))))
(* 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)))))))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -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)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -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)))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1)))))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))))
(cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))
(* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))
(* -1 (* phi2 (- (* -1 (/ (+ (PI) (* 1/2 phi1)) phi2)) 1/2)))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -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)))))))
(* -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))))))))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R)
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(*.f64 (neg.f64 R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1))
(* R (- 1 (/ phi2 phi1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R)
(* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 lambda2 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(* R lambda2)
(*.f64 lambda2 R)
(* R (* phi2 (- (/ 1 phi2) (/ 1 phi1))))
(*.f64 (*.f64 phi2 R) (-.f64 (/.f64 #s(literal 1 binary64) phi2) (/.f64 #s(literal 1 binary64) phi1)))
(* R (- (/ 1 phi2) (/ 1 phi1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi2) (/.f64 #s(literal 1 binary64) phi1)) R)
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(*.f64 (neg.f64 R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1))
(* R (+ 1 (* -1 (/ phi2 phi1))))
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(* -1 (* R (* phi2 (- (/ 1 phi1) (/ 1 phi2)))))
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(* -1 (* R (- (/ 1 phi1) (/ 1 phi2))))
(*.f64 (neg.f64 R) (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)
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(+ (* 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)))))))))
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(+ (* 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)))))))))))
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(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))
(+ (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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(+ (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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(+ (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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(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) lambda1) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) lambda2)))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
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(* -1 (* lambda2 (cos (* 1/2 phi1))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* lambda1 (cos (* 1/2 phi1))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (+.f64 lambda1 (neg.f64 lambda2)))
(* lambda2 (cos (* 1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)
(+ (* -1 (* lambda1 (cos (* 1/2 phi2)))) (* lambda2 (cos (* 1/2 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (fma.f64 #s(literal -1 binary64) lambda1 lambda2))
(* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))
(*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1)))
(/ (+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2)))) lambda1)
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (+.f64 lambda1 (neg.f64 lambda2))) lambda1)
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2)
(+ (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)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))
(+ (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)))))))))
(fma.f64 (*.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)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) lambda1) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))
(+ (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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.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)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))
(/ (cos (* 1/2 phi2)) lambda1)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
(* 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)))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda1)
(* 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))))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 R (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda1)
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) 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)))) lambda1)
(* 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)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* 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))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* lambda1 (cos (* 1/2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)
(* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1)))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (*.f64 (/.f64 phi1 lambda1) (/.f64 phi1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1)
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))
(*.f64 (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))) lambda1)
(cos (* 1/2 phi2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))
(fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(* lambda1 (cos (* -1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (*.f64 (/.f64 phi2 lambda1) (/.f64 phi2 lambda1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))
(* -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)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda1))))
(* -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)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))) (neg.f64 lambda1))) (neg.f64 lambda1))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (neg.f64 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)))))
(* -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)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.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 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) lambda1)))
(* -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)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (neg.f64 lambda1))) lambda1)))
(* -1 (* lambda1 (cos (* 1/2 phi1))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* 1/2 phi1))))) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)) lambda1)))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda1)) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (neg.f64 lambda1))) lambda1)))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
(*.f64 (neg.f64 lambda1) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(* -1 (* lambda1 (cos (* -1/2 phi2))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
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(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))
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(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)
(+ (* -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)))))
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(+ (* 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)))))))))
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(+ (* 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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(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))
(+ (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)))))))
(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)))
(+ (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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(+ (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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(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) phi1)
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) 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) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) phi1))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) lambda2) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) phi1))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(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) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) 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) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) phi1))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)
(+ (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)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
(+ (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)))))))))
(fma.f64 (*.f64 (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)))) (fma.f64 #s(literal 1/2 binary64) (*.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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
(+ (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))))))))))
(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) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.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))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (*.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))))) (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 (*.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))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ 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)
(* 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)))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2)
(* 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))))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 R (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 R (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2)
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* 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)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* 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))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* lambda2 (cos (* 1/2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)
(* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1)))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 phi1 lambda2) (/.f64 phi1 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
(* lambda2 (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)
(* lambda2 (+ (* -1 (/ (cos (* 1/2 phi2)) lambda1)) (/ (cos (* 1/2 phi2)) lambda2)))
(*.f64 (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1))) lambda2)
(* lambda2 (cos (* -1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)
(* 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)))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 phi2 lambda2) (/.f64 phi2 lambda2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 lambda2 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ 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))))
(* -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)))))))
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (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))))) (neg.f64 lambda2))))
(* -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)))))))
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (+.f64 (/.f64 lambda1 lambda2) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))) (neg.f64 lambda2))) (neg.f64 lambda2))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -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)))))
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)) lambda2)))
(* -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)))))
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda1 lambda2) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (neg.f64 lambda2))) lambda2)))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* 1/2 phi1))))) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) lambda2)))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda2)) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda1 lambda2) #s(literal 1 binary64)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (neg.f64 lambda2))) lambda2)))
(* -1 (* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(*.f64 (neg.f64 lambda2) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))))
(* -1 (* lambda2 (+ (* -1 (/ (cos (* 1/2 phi2)) lambda2)) (/ (cos (* 1/2 phi2)) lambda1))))
(*.f64 (neg.f64 lambda2) (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)))
(* -1 (* lambda2 (cos (* -1/2 phi2))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
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(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2)))))
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(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(+ (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)))))))
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(+ (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)))))))))
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(+ (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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(- lambda1 lambda2)
(-.f64 lambda1 lambda2)
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64) lambda1) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
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(*.f64 (*.f64 lambda2 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))
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(* -1 (* phi1 (- (* -1 (/ (+ (PI) (* 1/2 phi2)) phi1)) 1/2)))
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(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
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(+ (* -1/2 (* R (* lambda2 (* phi2 (sin (+ (PI) (* 1/2 phi1))))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 phi1))))))
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(+ (* R (* lambda2 (cos (+ (PI) (* 1/2 phi1))))) (* phi2 (+ (* -1/2 (* R (* lambda2 (sin (+ (PI) (* 1/2 phi1)))))) (* -1/8 (* R (* lambda2 (* phi2 (cos (+ (PI) (* 1/2 phi1))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) R) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) lambda2) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda2 phi2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))) phi2 (*.f64 (*.f64 lambda2 R) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))
(+ (* 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))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) R) (*.f64 (*.f64 lambda2 phi2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) phi2 (*.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))) #s(literal -1/2 binary64))) phi2 (*.f64 (*.f64 lambda2 R) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))
(cos (+ (PI) (* 1/2 phi1)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))
(+ (cos (+ (PI) (* 1/2 phi1))) (* -1/2 (* phi2 (sin (+ (PI) (* 1/2 phi1))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (cos (+ (PI) (* 1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* 1/2 phi1))))) (* 1/2 (sin (+ (PI) (* 1/2 phi1)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))))) phi2 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (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)))))))
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(* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))
(+ (* -1 (* lambda1 (* (pow phi2 2) (- (* 1/8 (/ lambda2 lambda1)) 1/8)))) (* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1))))
(+ (* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))) (* (pow phi2 2) (+ (* -1 (* lambda1 (* (pow phi2 2) (+ 1/384 (* -1/384 (/ lambda2 lambda1)))))) (* -1 (* lambda1 (- (* 1/8 (/ lambda2 lambda1)) 1/8))))))
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1))) lambda1 (*.f64 (*.f64 (neg.f64 lambda1) (fma.f64 (fma.f64 #s(literal -1/384 binary64) (/.f64 lambda2 lambda1) #s(literal 1/384 binary64)) (*.f64 phi2 phi2) (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)))) (*.f64 phi2 phi2)))
(+ (* -1 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))) (* (pow phi2 2) (+ (* -1 (* lambda1 (- (* 1/8 (/ lambda2 lambda1)) 1/8))) (* (pow phi2 2) (+ (* -1 (* lambda1 (* (pow phi2 2) (- (* 1/46080 (/ lambda2 lambda1)) 1/46080)))) (* -1 (* lambda1 (+ 1/384 (* -1/384 (/ lambda2 lambda1))))))))))
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1))) lambda1 (*.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))) lambda1 (*.f64 (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 #s(literal 1/46080 binary64) (/.f64 lambda2 lambda1)) #s(literal 1/46080 binary64)) (*.f64 phi2 phi2) (fma.f64 #s(literal -1/384 binary64) (/.f64 lambda2 lambda1) #s(literal 1/384 binary64)))) (*.f64 phi2 phi2))) (*.f64 phi2 phi2)))
(+ 1 (* -1 (/ lambda2 lambda1)))
(-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1))
(+ 1 (+ (* -1 (/ lambda2 lambda1)) (* (pow phi2 2) (- (* 1/8 (/ lambda2 lambda1)) 1/8))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)) (*.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2)))
(+ 1 (+ (* -1 (/ lambda2 lambda1)) (* (pow phi2 2) (- (+ (* 1/8 (/ lambda2 lambda1)) (* (pow phi2 2) (+ 1/384 (* -1/384 (/ lambda2 lambda1))))) 1/8))))
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(+ 1 (+ (* -1 (/ lambda2 lambda1)) (* (pow phi2 2) (- (+ (* 1/8 (/ lambda2 lambda1)) (* (pow phi2 2) (+ 1/384 (+ (* -1/384 (/ lambda2 lambda1)) (* (pow phi2 2) (- (* 1/46080 (/ lambda2 lambda1)) 1/46080)))))) 1/8))))
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(/ (+ R (* -1 (/ (* R phi2) phi1))) phi2)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R) phi2)
(+ (PI) (* 1/2 phi1))
(fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(-.f64 (fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))) #s(literal 1/2 binary64) lambda1) lambda2)
(- (+ 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)
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 phi2 phi2) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(- (+ 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)
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (*.f64 phi2 phi2) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(/ 1 lambda1)
(/.f64 #s(literal 1 binary64) lambda1)
(+ (* -1/8 (/ (pow phi2 2) lambda1)) (/ 1 lambda1))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2) #s(literal 1 binary64)) lambda1)
(+ (* (pow phi2 2) (- (* 1/384 (/ (pow phi2 2) lambda1)) (* 1/8 (/ 1 lambda1)))) (/ 1 lambda1))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 phi2 phi2) lambda1) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) lambda1)) (*.f64 phi2 phi2) (/.f64 #s(literal 1 binary64) lambda1))
(+ (* (pow phi2 2) (- (* (pow phi2 2) (+ (* -1/46080 (/ (pow phi2 2) lambda1)) (* 1/384 (/ 1 lambda1)))) (* 1/8 (/ 1 lambda1)))) (/ 1 lambda1))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi2 phi2) #s(literal 1/384 binary64)) lambda1) (*.f64 phi2 phi2)) (/.f64 #s(literal 1/8 binary64) lambda1)) (*.f64 phi2 phi2) (/.f64 #s(literal 1 binary64) lambda1))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) phi2)
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(*.f64 (+.f64 (fma.f64 (*.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)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 R) (/.f64 phi1 phi2))) R) phi2)
(* 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)))))))
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phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(*.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)
(* 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)))))))
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(* phi2 (- (/ R phi2) (/ R phi1)))
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)
(* phi2 (+ (* -1 (/ R phi1)) (/ R phi2)))
(*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)
(- (/ R phi2) (/ R phi1))
(-.f64 (/.f64 R phi2) (/.f64 R phi1))
(* 1/2 phi2)
(*.f64 #s(literal 1/2 binary64) phi2)
(* phi2 (+ 1/2 (+ (* 1/2 (/ phi1 phi2)) (/ (PI) phi2))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)) phi2) #s(literal 1/2 binary64)) phi2)
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(*.f64 (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)) phi2)
(* 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))))))
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(* 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)))))))
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(* -1 (* R phi2))
(*.f64 (neg.f64 phi2) R)
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (*.f64 phi1 R) phi2)))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
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(* -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)))))
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(* -1 phi2)
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(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
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(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.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)) phi2)) #s(literal -1/2 binary64) phi1) phi2)))
(* -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)))))
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (*.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)) phi2)) (*.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))))) phi2)) phi2)))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(*.f64 (neg.f64 phi2) (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi1 phi2))))
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1)))))
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 R phi2) #s(literal -1 binary64) (/.f64 R phi1)))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))))
(*.f64 (*.f64 lambda2 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1))))
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 R phi2) #s(literal -1 binary64) (/.f64 R phi1)))
(* -1 (* phi2 (- (* -1 (/ (+ (PI) (* 1/2 phi1)) phi2)) 1/2)))
(*.f64 (neg.f64 phi2) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)) (neg.f64 phi2)) #s(literal 1/2 binary64)))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(*.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)))
(* -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)))))))
(*.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)))
(* -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))))))))
(*.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)))

rewrite184.0ms (1.8%)

Memory
-3.6MiB live, 130.6MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063565
095456
1378456
23371456
08138401
Stop Event
iter limit
node limit
iter limit
Counts
23 → 293
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) phi1)) (-.f64 lambda1 lambda2)) phi1)))
#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))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 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)))
#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)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
(*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))
#s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R 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) (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)))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) 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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)
(-.f64 (/.f64 R phi2) (/.f64 R phi1))
(fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) 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 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)) 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 (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)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
(*.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 3 binary64)) (pow.f64 phi1 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 (*.f64 phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (exp.f64 (log.f64 phi1)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (fabs.f64 phi1))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (neg.f64 phi1))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) phi1)
(hypot.f64 (exp.f64 (log.f64 phi1)) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (exp.f64 (log.f64 phi1)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (fabs.f64 phi1))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (neg.f64 phi1))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi1)
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (exp.f64 (log.f64 phi1)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (fabs.f64 phi1))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) (neg.f64 phi1))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) phi1)
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))))
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(-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (neg.f64 lambda2)) lambda1) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (neg.f64 lambda2)) lambda1)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (neg.f64 lambda2)) lambda1)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (neg.f64 lambda2)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (neg.f64 lambda2)) lambda1))
(*.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 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (neg.f64 lambda1)))) R)
(*.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 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (neg.f64 lambda1)))))
#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 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (neg.f64 lambda1))))
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)
(*.f64 phi2 (-.f64 (/.f64 R phi2) (/.f64 R phi1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 R phi2) #s(literal 2 binary64)) (pow.f64 (/.f64 R phi1) #s(literal 2 binary64))) phi2) (+.f64 (/.f64 R phi1) (/.f64 R phi2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 R phi2) #s(literal 3 binary64)) (pow.f64 (/.f64 R phi1) #s(literal 3 binary64))) phi2) (fma.f64 (/.f64 R phi1) (+.f64 (/.f64 R phi1) (/.f64 R phi2)) (pow.f64 (/.f64 R phi2) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 phi2 phi1))
(/.f64 (*.f64 phi2 (-.f64 (pow.f64 (/.f64 R phi2) #s(literal 2 binary64)) (pow.f64 (/.f64 R phi1) #s(literal 2 binary64)))) (+.f64 (/.f64 R phi1) (/.f64 R phi2)))
(/.f64 (*.f64 phi2 (-.f64 (pow.f64 (/.f64 R phi2) #s(literal 3 binary64)) (pow.f64 (/.f64 R phi1) #s(literal 3 binary64)))) (fma.f64 (/.f64 R phi1) (+.f64 (/.f64 R phi1) (/.f64 R phi2)) (pow.f64 (/.f64 R phi2) #s(literal 2 binary64))))
(/.f64 (*.f64 phi2 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R))) (*.f64 phi2 phi1))
(/.f64 (/.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) phi1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 R phi2) #s(literal 2 binary64)) (pow.f64 (/.f64 R phi1) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 R phi1) (/.f64 R phi2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 R phi2) #s(literal 3 binary64)) (pow.f64 (/.f64 R phi1) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 R phi1) (+.f64 (/.f64 R phi1) (/.f64 R phi2)) (pow.f64 (/.f64 R phi2) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R))) (neg.f64 (*.f64 phi2 phi1)))
(/.f64 (-.f64 (*.f64 (neg.f64 R) (neg.f64 phi1)) (*.f64 (neg.f64 phi2) (neg.f64 R))) (*.f64 (neg.f64 phi2) (neg.f64 phi1)))
(/.f64 (-.f64 (*.f64 (neg.f64 R) phi1) (*.f64 (neg.f64 phi2) R)) (*.f64 (neg.f64 phi2) phi1))
(/.f64 (-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 (neg.f64 R))) (*.f64 phi2 (neg.f64 phi1)))
(/.f64 (-.f64 (pow.f64 (/.f64 R phi2) #s(literal 2 binary64)) (pow.f64 (/.f64 R phi1) #s(literal 2 binary64))) (+.f64 (/.f64 R phi1) (/.f64 R phi2)))
(/.f64 (-.f64 (pow.f64 (/.f64 R phi2) #s(literal 3 binary64)) (pow.f64 (/.f64 R phi1) #s(literal 3 binary64))) (fma.f64 (/.f64 R phi1) (+.f64 (/.f64 R phi1) (/.f64 R phi2)) (pow.f64 (/.f64 R phi2) #s(literal 2 binary64))))
(/.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) (*.f64 phi2 phi1))
(-.f64 (/.f64 (pow.f64 (/.f64 R phi2) #s(literal 2 binary64)) (+.f64 (/.f64 R phi1) (/.f64 R phi2))) (/.f64 (pow.f64 (/.f64 R phi1) #s(literal 2 binary64)) (+.f64 (/.f64 R phi1) (/.f64 R phi2))))
(-.f64 (/.f64 (pow.f64 (/.f64 R phi2) #s(literal 3 binary64)) (fma.f64 (/.f64 R phi1) (+.f64 (/.f64 R phi1) (/.f64 R phi2)) (pow.f64 (/.f64 R phi2) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 R phi1) #s(literal 3 binary64)) (fma.f64 (/.f64 R phi1) (+.f64 (/.f64 R phi1) (/.f64 R phi2)) (pow.f64 (/.f64 R phi2) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 phi1 R) (*.f64 phi2 phi1)) (/.f64 (*.f64 phi2 R) (*.f64 phi2 phi1)))
(-.f64 (/.f64 R phi2) (/.f64 R phi1))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) #s(literal 2 binary64))) (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (PI.f64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (PI.f64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (neg.f64 phi2) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 phi2) (fma.f64 #s(literal 1/2 binary64) phi1 (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 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (PI.f64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (*.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 (PI.f64) (*.f64 (neg.f64 (+.f64 phi2 phi1)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal 1/2 binary64) phi1))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)) (PI.f64))
(+.f64 (*.f64 #s(literal 1/2 binary64) phi2) (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))
(+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (neg.f64 lambda1)))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))) (neg.f64 (neg.f64 lambda1)))
(/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (neg.f64 lambda1))
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) lambda1))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (neg.f64 lambda1)))

eval137.0ms (1.4%)

Memory
7.6MiB live, 113.0MiB allocated; 27ms collecting garbage
Compiler

Compiled 36 696 to 2 962 computations (91.9% saved)

prune115.0ms (1.1%)

Memory
-24.8MiB live, 117.4MiB allocated; 17ms collecting garbage
Pruning

54 alts after pruning (52 fresh and 2 done)

PrunedKeptTotal
New51325538
Fresh112738
Picked415
Done011
Total52854582
Accuracy
98.6%
Counts
582 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.2%
(*.f64 R (sqrt.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
24.5%
(*.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))))))
24.5%
(*.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))))
21.5%
(*.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))))
61.2%
(*.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))) (exp.f64 (log.f64 phi2)))))
19.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)))
21.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) phi1)))
52.6%
(*.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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi2)))
13.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (fma.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)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)))
15.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) 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))))) lambda1)))
52.9%
(*.f64 R #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)))
11.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
20.0%
(*.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))) lambda2)))
10.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda1)))
29.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
17.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (fma.f64 (*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) phi2 (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))))
15.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))))))
49.9%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
21.5%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
8.7%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1))))
53.9%
(*.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))))
53.8%
(*.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))
37.3%
(*.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 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))))
8.9%
(*.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))))))
24.1%
(*.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))))))
41.3%
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
18.9%
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1))))))))
20.4%
(*.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)) lambda2))))
4.7%
(*.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)) lambda1))))
27.6%
(*.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 lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1))))))))
35.3%
#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 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2))
54.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
12.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R) lambda2))
12.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) phi2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
14.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))))))
9.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
9.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 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 lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
7.8%
#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) phi2 (PI.f64))))))
9.6%
#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)) (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))))))
10.3%
#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 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)) phi1) #s(literal 1/2 binary64)) phi1)))))
20.4%
#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)))))
19.5%
#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) phi1)))))
22.9%
#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 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))))
22.6%
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))))
4.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
41.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 phi2 phi1)))))
52.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (-.f64 (/.f64 (*.f64 phi1 R) phi2) R) phi1)) phi2))))
30.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 R) phi1)) phi2))))
31.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
37.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))))
31.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
52.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
56.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
Compiler

Compiled 5 913 to 3 188 computations (46.1% saved)

simplify195.0ms (1.9%)

Memory
15.2MiB live, 149.2MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)
cost-diff0
#s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)))
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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
cost-diff0
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
cost-diff0
#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))) lambda2))
cost-diff0
(*.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))) lambda2)))
cost-diff0
(cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))
cost-diff0
(*.f64 R lambda1)
cost-diff0
(*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))))
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 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
cost-diff0
(neg.f64 R)
cost-diff0
(*.f64 (neg.f64 R) (-.f64 phi1 phi2))
cost-diff0
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
cost-diff0
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 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 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2)))))
cost-diff2
(exp.f64 (log.f64 phi2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068596
098588
1235588
2724588
32167588
46234588
08487418
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 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 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 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2))))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2)))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
(exp.f64 (log.f64 phi2))
(log.f64 phi2)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))
(*.f64 (neg.f64 R) (-.f64 phi1 phi2))
(neg.f64 R)
R
(-.f64 phi1 phi2)
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 lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))))
(*.f64 R lambda1)
R
lambda1
(cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#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)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
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))) lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(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
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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)))
#s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)
(*.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
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 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 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 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 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 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
(exp.f64 (log.f64 phi2))
phi2
(log.f64 phi2)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))
(*.f64 (neg.f64 R) (-.f64 phi1 phi2))
(neg.f64 R)
R
(-.f64 phi1 phi2)
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 lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.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 (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 lambda1 R)))
(*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))))
(*.f64 (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 lambda1 R))
(*.f64 R lambda1)
(*.f64 lambda1 R)
R
lambda1
(cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#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)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)) R)
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))) lambda2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)
(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
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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1))) 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)))
#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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)))
#s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
#s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) 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

localize313.0ms (3.1%)

Memory
29.9MiB live, 309.8MiB allocated; 31ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
accuracy0.07421875
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)
accuracy17.801713926637447
#s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
accuracy24.542212134078337
#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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) 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 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
accuracy0.1015625
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
accuracy12.690805151651826
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy39.278061226136884
#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))) lambda2))
accuracy0.14453125
(*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))))
accuracy25.427871367346178
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))
accuracy33.57046752580327
(cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))
accuracy37.810201531801475
#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)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
accuracy0.0
(neg.f64 R)
accuracy0.0
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))
accuracy0.015625
(*.f64 (neg.f64 R) (-.f64 phi1 phi2))
accuracy22.711029746325504
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2)))))
accuracy0.11328125
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
accuracy4.592665769265295
(exp.f64 (log.f64 phi2))
accuracy13.677016922166208
#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))) (exp.f64 (log.f64 phi2))))
Samples
161.0ms142×1valid
81.0ms56×0invalid
38.0ms58×0valid
Compiler

Compiled 451 to 52 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-mult: 49.0ms (23.7% of total)
ival-neg: 40.0ms (19.4% of total)
ival-add: 36.0ms (17.4% of total)
ival-cos: 34.0ms (16.5% of total)
ival-hypot: 17.0ms (8.2% of total)
adjust: 15.0ms (7.3% of total)
ival-div: 5.0ms (2.4% of total)
ival-sub: 4.0ms (1.9% of total)
ival-log: 2.0ms (1% of total)
ival-pi: 1.0ms (0.5% of total)
ival->: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-then: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series135.0ms (1.3%)

Memory
-3.1MiB live, 85.6MiB allocated; 7ms collecting garbage
Counts
23 → 255
Calls
Call 1
Inputs
(exp.f64 (log.f64 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 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 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))) (exp.f64 (log.f64 phi2))))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))
(*.f64 (neg.f64 R) (-.f64 phi1 phi2))
(neg.f64 R)
#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)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))))
(*.f64 R lambda1)
(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)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#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))) lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) 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)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
#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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)))
#s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* -1 (* R (- phi1 phi2)))
(* -1 R)
(* R (* lambda1 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))
(* R lambda1)
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(* -1 (* lambda2 (cos (* 1/2 phi2))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2))))
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(* 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)))))))))
(* 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))))))))))
(* lambda1 (cos (* 1/2 phi2)))
(* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))))
(* lambda1 (cos (* 1/2 phi1)))
(* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1))))))))
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1)))))))))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* 1/2 phi2))))) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* 1/2 phi2))))) lambda1)) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (cos (* 1/2 phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* 1/2 phi1))))) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda1)) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
phi1
(+ phi1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) phi1)))
(+ phi1 (* (pow lambda2 2) (+ (* -1/8 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 3))) (* 1/2 (/ (pow (cos (* -1/2 phi1)) 2) phi1)))))
(+ phi1 (* (pow lambda2 2) (+ (* 1/2 (/ (pow (cos (* -1/2 phi1)) 2) phi1)) (* (pow lambda2 2) (+ (* -1/8 (/ (pow (cos (* -1/2 phi1)) 4) (pow phi1 3))) (* 1/16 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 6)) (pow phi1 5))))))))
(* lambda2 (cos (* -1/2 phi1)))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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)))))))))
(* 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))))))))))
(* lambda2 (cos (* 1/2 phi2)))
(* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(* lambda2 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* 1/2 phi2))))))))
(* 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)))))))))
(* lambda2 (cos (* 1/2 phi1)))
(* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2))))
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1))))))))
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1)))))))))
(* lambda2 (+ (cos (* -1/2 phi1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (+ (* 1/16 (/ (pow phi1 6) (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 5)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))))
(* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* 1/2 phi2))))) (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))
(* -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)))))
(* -1 (* lambda2 (cos (* 1/2 phi1))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* 1/2 phi1))))) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda2)) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(* -1 (* lambda2 (cos (* -1/2 phi1))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (+ (* 1/16 (/ (pow phi1 6) (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 5)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(* R phi2)
(+ (* -1 (* R phi1)) (* R phi2))
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (+ (PI) (* -1/2 phi2))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))))))))
(cos (+ (PI) (* -1/2 phi2)))
(+ (cos (+ (PI) (* -1/2 phi2))) (* 1/2 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* -1/8 (* phi1 (cos (+ (PI) (* -1/2 phi2))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* phi1 (+ (* -1/8 (cos (+ (PI) (* -1/2 phi2)))) (* -1/48 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(* lambda2 (cos (* -1/2 phi2)))
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(cos (* -1/2 phi2))
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2))))))
(+ (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))))))
(- lambda1 lambda2)
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
lambda2
(+ lambda2 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow lambda2 2)))) lambda2)))
(+ lambda2 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* 1/48 (pow lambda2 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda2 2))) 2) (pow lambda2 2))))) lambda2)) (* 1/2 (/ (+ 1 (* -1/4 (pow lambda2 2))) lambda2)))))
(+ lambda2 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow lambda2 2))) lambda2)) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* -1/1440 (pow lambda2 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow lambda2 2))) (- (* 1/48 (pow lambda2 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda2 2))) 2) (pow lambda2 2))))) (pow lambda2 2))))) lambda2)) (* 1/2 (/ (- (* 1/48 (pow lambda2 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda2 2))) 2) (pow lambda2 2)))) lambda2)))))))
(+ (PI) (* -1/2 phi2))
(+ (PI) (+ (* -1/2 phi1) (* -1/2 phi2)))
(+ lambda2 (* -1/8 (* lambda2 (pow phi1 2))))
(+ lambda2 (* (pow phi1 2) (+ (* -1/8 lambda2) (* 1/384 (* lambda2 (pow phi1 2))))))
(+ lambda2 (* (pow phi1 2) (+ (* -1/8 lambda2) (* (pow phi1 2) (+ (* -1/46080 (* lambda2 (pow phi1 2))) (* 1/384 lambda2))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* 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)))))))
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* 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)))))))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
(cos (+ (PI) (* -1/2 (+ phi1 phi2))))
(cos (* -1/2 (+ phi1 phi2)))
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* phi1 (+ 1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))
(* -1/2 phi1)
(* phi1 (- (+ (* -1/2 (/ phi2 phi1)) (/ (PI) phi1)) 1/2))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -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)))))
(* -1 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -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)))))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))))
(cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))
(* -1 (* phi1 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi2)) phi1)))))
phi2
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ 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)
(- (+ 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)
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (+ (PI) (* -1/2 phi1))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))))))
(cos (+ (PI) (* -1/2 phi1)))
(+ (cos (+ (PI) (* -1/2 phi1))) (* 1/2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))
(+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* -1/2 phi1))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))
(+ (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)))))))
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(cos (* -1/2 phi1))
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))
(+ (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))))))
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(+ (PI) (* -1/2 phi1))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* 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)))))))
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* 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)))))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* 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))))))
(* 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)))))))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(* -1/2 phi2)
(* phi2 (- (+ (* -1/2 (/ phi1 phi2)) (/ (PI) phi2)) 1/2))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -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)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -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)))))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -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)))))))
(* -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))))))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))
(cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* -1 (* phi2 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi1)) phi2)))))
Calls

15 calls:

TimeVariablePointExpression
37.0ms
phi1
@0
((exp (log 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* (neg R) (- phi1 phi2)) (neg R) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (* 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)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (sqrt (+ (* (* (cos (* -1/2 phi1)) lambda2) (* (cos (* -1/2 phi1)) lambda2)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (+ (* -1/2 (+ phi2 phi1)) (PI)) (* (cos (* -1/2 phi1)) lambda2))
9.0ms
lambda2
@0
((exp (log 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* (neg R) (- phi1 phi2)) (neg R) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (* 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)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (sqrt (+ (* (* (cos (* -1/2 phi1)) lambda2) (* (cos (* -1/2 phi1)) lambda2)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (+ (* -1/2 (+ phi2 phi1)) (PI)) (* (cos (* -1/2 phi1)) lambda2))
4.0ms
R
@0
((exp (log 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* (neg R) (- phi1 phi2)) (neg R) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (* 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)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (sqrt (+ (* (* (cos (* -1/2 phi1)) lambda2) (* (cos (* -1/2 phi1)) lambda2)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (+ (* -1/2 (+ phi2 phi1)) (PI)) (* (cos (* -1/2 phi1)) lambda2))
4.0ms
lambda1
@0
((exp (log 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* (neg R) (- phi1 phi2)) (neg R) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (* 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)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (sqrt (+ (* (* (cos (* -1/2 phi1)) lambda2) (* (cos (* -1/2 phi1)) lambda2)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (+ (* -1/2 (+ phi2 phi1)) (PI)) (* (cos (* -1/2 phi1)) lambda2))
4.0ms
R
@-inf
((exp (log 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* (neg R) (- phi1 phi2)) (neg R) (* 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)) (PI)))) (* R lambda1) (cos (+ (* -1/2 (+ phi2 phi1)) (PI))) (* 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)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (sqrt (+ (* (* (cos (* -1/2 phi1)) lambda2) (* (cos (* -1/2 phi1)) lambda2)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (+ (* -1/2 (+ phi2 phi1)) (PI)) (* (cos (* -1/2 phi1)) lambda2))

simplify196.0ms (2%)

Memory
9.4MiB live, 198.6MiB allocated; 35ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143410558
1530910021
081619239
Stop Event
iter limit
node limit
Counts
255 → 252
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* -1 (* R (- phi1 phi2)))
(* -1 R)
(* R (* lambda1 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))
(* R lambda1)
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(* -1 (* lambda2 (cos (* 1/2 phi2))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2))))
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(* 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)))))))))
(* 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))))))))))
(* lambda1 (cos (* 1/2 phi2)))
(* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))))
(* lambda1 (cos (* 1/2 phi1)))
(* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1))))))))
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1)))))))))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* 1/2 phi2))))) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* 1/2 phi2))))) lambda1)) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (cos (* 1/2 phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* 1/2 phi1))))) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda1)) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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))))))))))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
phi1
(+ phi1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) phi1)))
(+ phi1 (* (pow lambda2 2) (+ (* -1/8 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 3))) (* 1/2 (/ (pow (cos (* -1/2 phi1)) 2) phi1)))))
(+ phi1 (* (pow lambda2 2) (+ (* 1/2 (/ (pow (cos (* -1/2 phi1)) 2) phi1)) (* (pow lambda2 2) (+ (* -1/8 (/ (pow (cos (* -1/2 phi1)) 4) (pow phi1 3))) (* 1/16 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 6)) (pow phi1 5))))))))
(* lambda2 (cos (* -1/2 phi1)))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(* 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)))))))
(* 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))))))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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)))))))))
(* 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))))))))))
(* lambda2 (cos (* 1/2 phi2)))
(* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(* lambda2 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* 1/2 phi2))))))))
(* 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)))))))))
(* lambda2 (cos (* 1/2 phi1)))
(* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2))))
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1))))))))
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1)))))))))
(* lambda2 (+ (cos (* -1/2 phi1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (+ (* 1/16 (/ (pow phi1 6) (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 5)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))))
(* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -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)))))))
(* -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)))))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -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)))))
(* -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)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* 1/2 phi2))))) (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))
(* -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)))))
(* -1 (* lambda2 (cos (* 1/2 phi1))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* 1/2 phi1))))) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda2)) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(* -1 (* lambda2 (cos (* -1/2 phi1))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (+ (* 1/16 (/ (pow phi1 6) (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 5)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(* R phi2)
(+ (* -1 (* R phi1)) (* R phi2))
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (+ (PI) (* -1/2 phi2))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))))))))
(cos (+ (PI) (* -1/2 phi2)))
(+ (cos (+ (PI) (* -1/2 phi2))) (* 1/2 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* -1/8 (* phi1 (cos (+ (PI) (* -1/2 phi2))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* phi1 (+ (* -1/8 (cos (+ (PI) (* -1/2 phi2)))) (* -1/48 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(* lambda2 (cos (* -1/2 phi2)))
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(cos (* -1/2 phi2))
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2))))))
(+ (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))))))
(- lambda1 lambda2)
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
lambda2
(+ lambda2 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow lambda2 2)))) lambda2)))
(+ lambda2 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* 1/48 (pow lambda2 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda2 2))) 2) (pow lambda2 2))))) lambda2)) (* 1/2 (/ (+ 1 (* -1/4 (pow lambda2 2))) lambda2)))))
(+ lambda2 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow lambda2 2))) lambda2)) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* -1/1440 (pow lambda2 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow lambda2 2))) (- (* 1/48 (pow lambda2 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda2 2))) 2) (pow lambda2 2))))) (pow lambda2 2))))) lambda2)) (* 1/2 (/ (- (* 1/48 (pow lambda2 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda2 2))) 2) (pow lambda2 2)))) lambda2)))))))
(+ (PI) (* -1/2 phi2))
(+ (PI) (+ (* -1/2 phi1) (* -1/2 phi2)))
(+ lambda2 (* -1/8 (* lambda2 (pow phi1 2))))
(+ lambda2 (* (pow phi1 2) (+ (* -1/8 lambda2) (* 1/384 (* lambda2 (pow phi1 2))))))
(+ lambda2 (* (pow phi1 2) (+ (* -1/8 lambda2) (* (pow phi1 2) (+ (* -1/46080 (* lambda2 (pow phi1 2))) (* 1/384 lambda2))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* 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)))))))
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* 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)))))))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
(cos (+ (PI) (* -1/2 (+ phi1 phi2))))
(cos (* -1/2 (+ phi1 phi2)))
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* phi1 (+ 1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))
(* -1/2 phi1)
(* phi1 (- (+ (* -1/2 (/ phi2 phi1)) (/ (PI) phi1)) 1/2))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -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)))))
(* -1 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -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)))))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))))
(cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))
(* -1 (* phi1 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi2)) phi1)))))
phi2
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(+ (* 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)))))
(+ (* 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)))))))))
(+ (* 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)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (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)))))))
(+ (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)))))))))
(+ (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)))))))))))
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(- (+ 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)
(- (+ 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)
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (+ (PI) (* -1/2 phi1))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))))))
(cos (+ (PI) (* -1/2 phi1)))
(+ (cos (+ (PI) (* -1/2 phi1))) (* 1/2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))
(+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* -1/2 phi1))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))
(+ (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)))))))
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(cos (* -1/2 phi1))
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))
(+ (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))))))
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(+ (PI) (* -1/2 phi1))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* 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)))))))
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* 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)))))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* 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))))))
(* 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)))))))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(* -1/2 phi2)
(* phi2 (- (+ (* -1/2 (/ phi1 phi2)) (/ (PI) phi2)) 1/2))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -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)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -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)))))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -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)))))))
(* -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))))))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))
(cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* -1 (* phi2 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi1)) phi2)))))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (-.f64 phi1 phi2)) R)
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(*.f64 (neg.f64 R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1))
(* -1 (* R (- phi1 phi2)))
(*.f64 (neg.f64 R) (-.f64 phi1 phi2))
(* -1 R)
(neg.f64 R)
(* R (* lambda1 (cos (+ (PI) (* -1/2 (+ phi1 phi2))))))
(*.f64 (neg.f64 (*.f64 lambda1 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))
(* R lambda1)
(*.f64 lambda1 R)
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(*.f64 (neg.f64 R) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)) R)
(+ (* -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)))))
(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))
(+ (* 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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.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))
(+ (* 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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (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 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)))) (*.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))))))))) 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))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2))
(+ (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)))))))
(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)))
(+ (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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) lambda2)))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (-.f64 phi1 phi2)))
(+ (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))))))))))
(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 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)))) (*.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)))))))) 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)))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) phi2)
(+ (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)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) phi2))
(+ (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)))))))))
(fma.f64 (*.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)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) lambda1) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) phi2))
(+ (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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.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)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) phi2))
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) lambda1) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) lambda2)))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
(* -1 (* lambda2 (cos (* 1/2 phi2))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (fma.f64 #s(literal -1 binary64) lambda2 lambda1))
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (neg.f64 lambda1))) lambda1)
(* 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)))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda1) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R))) lambda1)
(* 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))))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda1) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 R (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R))) lambda1)
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda1)
(* 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)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda1)
(* 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))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda1)
(* lambda1 (cos (* 1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)
(* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (*.f64 (/.f64 phi2 lambda1) (/.f64 phi2 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)
(* lambda1 (cos (* 1/2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)
(* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1)))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (*.f64 (/.f64 phi1 lambda1) (/.f64 phi1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1)
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (neg.f64 (*.f64 lambda1 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (neg.f64 lambda1))))
(* -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)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))) (neg.f64 lambda1))))
(* -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)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R (/.f64 (fma.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (/.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))) (neg.f64 lambda1))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))
(* -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)))))
(*.f64 (neg.f64 lambda1) (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)))))
(* -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)))))
(*.f64 (neg.f64 lambda1) (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)))))
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* 1/2 phi2))))) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* 1/2 phi2))))) lambda1)) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda2) lambda1) (*.f64 phi2 phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(* -1 (* lambda1 (cos (* 1/2 phi1))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* 1/2 phi1))))) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda1)) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda2) lambda1) (*.f64 phi1 phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
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(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2)) R)
(+ (* -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)))))
(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))
(+ (* 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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R 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 #s(literal -1 binary64) (*.f64 (*.f64 lambda1 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.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))
(+ (* 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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (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 lambda2) (*.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)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (*.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)))))) (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))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2))
(+ (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)))))))
(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)))
(+ (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)))))))))
(fma.f64 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) (-.f64 phi1 phi2)))
(+ (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))))))))))
(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 lambda2) (*.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)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) #s(literal 2 binary64)))) (*.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)))))) (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 (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)))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) phi2)
(+ (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)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) 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) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) phi2))
(+ (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)))))))))
(fma.f64 (*.f64 (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)))) (fma.f64 #s(literal 1/2 binary64) (*.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) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) phi2))
(+ (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))))))))))
(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) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.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))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (*.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))))) (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 (*.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))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2)
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) phi1)
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) 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) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) phi1))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) lambda2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) phi1))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(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) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) 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) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) phi1))
phi1
(+ phi1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) phi1)))
(fma.f64 (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) phi1)) #s(literal 1/2 binary64) phi1)
(+ phi1 (* (pow lambda2 2) (+ (* -1/8 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 3))) (* 1/2 (/ (pow (cos (* -1/2 phi1)) 2) phi1)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) phi1) #s(literal 1/2 binary64))) (*.f64 lambda2 lambda2) phi1)
(+ phi1 (* (pow lambda2 2) (+ (* 1/2 (/ (pow (cos (* -1/2 phi1)) 2) phi1)) (* (pow lambda2 2) (+ (* -1/8 (/ (pow (cos (* -1/2 phi1)) 4) (pow phi1 3))) (* 1/16 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 6)) (pow phi1 5))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 6 binary64)) (pow.f64 phi1 #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 lambda2 lambda2) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) phi1) #s(literal 1/2 binary64))) (*.f64 lambda2 lambda2) phi1)
(* lambda2 (cos (* -1/2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (neg.f64 lambda2))) lambda2)
(* 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)))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R))) lambda2)
(* 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))))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (/.f64 R (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 R (*.f64 lambda2 lambda2)) (/.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))) R))) lambda2)
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda2)
(* 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)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda2)
(* 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))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) lambda2)
(* lambda2 (cos (* 1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)
(* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* 1/2 phi2))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)
(* 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)))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 phi2 lambda2) (/.f64 phi2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)
(* lambda2 (cos (* 1/2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)
(* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* 1/2 phi1)))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 phi1 lambda2) (/.f64 phi1 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
(* lambda2 (+ (cos (* -1/2 phi1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 lambda2 #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (+ (* 1/16 (/ (pow phi1 6) (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 5)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 lambda2 #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 phi1 #s(literal 6 binary64)) (pow.f64 lambda2 #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
(* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))) lambda2)
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (neg.f64 lambda2))))
(* -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)))))))
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))) (neg.f64 lambda2))))
(* -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)))))))
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1) R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))) (neg.f64 lambda2))) (neg.f64 lambda2))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))
(* -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)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.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))) lambda1)) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))
(* -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)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))) lambda1 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2))))) (neg.f64 lambda2))) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* 1/2 phi2))))) (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(* -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)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda1) lambda2) (*.f64 phi2 phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (neg.f64 lambda2))) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(* -1 (* lambda2 (cos (* 1/2 phi1))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* 1/2 phi1))))) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* 1/2 phi1))))) lambda2)) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda1) lambda2) (*.f64 phi1 phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (neg.f64 lambda2))) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda2 (cos (* -1/2 phi1))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))))
(*.f64 (neg.f64 lambda2) (+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 lambda2 #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1/8 (/ (pow phi1 4) (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 3)))) (+ (* 1/16 (/ (pow phi1 6) (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 5)))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))))
(*.f64 (neg.f64 lambda2) (+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 lambda2 #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 phi1 #s(literal 6 binary64)) (pow.f64 lambda2 #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R)
(+ (* 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)))))
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(+ (* 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)))))))))
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(+ (* 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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(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(+ (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)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.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))
(+ (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)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.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 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (sin.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 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.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 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi2))))) phi1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(+ (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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(* R phi2)
(*.f64 R phi2)
(+ (* -1 (* R phi1)) (* R phi2))
(*.f64 (neg.f64 R) (-.f64 phi1 phi2))
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))
(*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi1) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))) (*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (+ (PI) (* -1/2 phi2))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) lambda1) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda1 phi1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))) phi1 (*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi2)))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi2)))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) lambda1) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda1 phi1) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) phi1)) phi1 (*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))
(cos (+ (PI) (* -1/2 phi2)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))
(+ (cos (+ (PI) (* -1/2 phi2))) (* 1/2 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* -1/8 (* phi1 (cos (+ (PI) (* -1/2 phi2))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))))) phi1 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))
(+ (cos (+ (PI) (* -1/2 phi2))) (* phi1 (- (* phi1 (+ (* -1/8 (cos (+ (PI) (* -1/2 phi2)))) (* -1/48 (* phi1 (sin (+ (PI) (* -1/2 phi2))))))) (* -1/2 (sin (+ (PI) (* -1/2 phi2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi1) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) #s(literal -1/8 binary64))) phi1 (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))))) phi1 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))
(* lambda2 (cos (* -1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(fma.f64 (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 (*.f64 lambda2 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal -1/8 binary64))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) (*.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2))
(cos (* -1/2 phi2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
(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)))
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(- lambda1 lambda2)
(-.f64 lambda1 lambda2)
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64) lambda1) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 phi1 phi1) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 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)
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (*.f64 phi1 phi1) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2)
lambda2
(+ lambda2 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow lambda2 2)))) lambda2)))
(fma.f64 (*.f64 (*.f64 phi1 phi1) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda2 lambda2) #s(literal 1 binary64)) lambda2)) #s(literal 1/2 binary64) lambda2)
(+ lambda2 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* 1/48 (pow lambda2 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda2 2))) 2) (pow lambda2 2))))) lambda2)) (* 1/2 (/ (+ 1 (* -1/4 (pow lambda2 2))) lambda2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 lambda2 lambda2) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda2 lambda2) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2)))) (*.f64 phi1 phi1) (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda2 lambda2) #s(literal 1 binary64))) lambda2)) (*.f64 phi1 phi1) lambda2)
(+ lambda2 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow lambda2 2))) lambda2)) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* -1/1440 (pow lambda2 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow lambda2 2))) (- (* 1/48 (pow lambda2 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda2 2))) 2) (pow lambda2 2))))) (pow lambda2 2))))) lambda2)) (* 1/2 (/ (- (* 1/48 (pow lambda2 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda2 2))) 2) (pow lambda2 2)))) lambda2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 lambda2 lambda2) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 lambda2 lambda2) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda2 lambda2) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2)))) lambda2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda2 lambda2) #s(literal 1 binary64)) lambda2)))) (*.f64 phi1 phi1) (fma.f64 #s(literal 1/48 binary64) (*.f64 lambda2 lambda2) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda2 lambda2) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))))) lambda2)) (*.f64 phi1 phi1) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda2 lambda2) #s(literal 1 binary64)) lambda2) #s(literal 1/2 binary64))) (*.f64 phi1 phi1) lambda2)
(+ (PI) (* -1/2 phi2))
(fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))
(+ (PI) (+ (* -1/2 phi1) (* -1/2 phi2)))
(fma.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2) (PI.f64))
(+ lambda2 (* -1/8 (* lambda2 (pow phi1 2))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (*.f64 phi1 phi1) lambda2)
(+ lambda2 (* (pow phi1 2) (+ (* -1/8 lambda2) (* 1/384 (* lambda2 (pow phi1 2))))))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda2) (*.f64 #s(literal -1/8 binary64) lambda2)) (*.f64 phi1 phi1) lambda2)
(+ lambda2 (* (pow phi1 2) (+ (* -1/8 lambda2) (* (pow phi1 2) (+ (* -1/46080 (* lambda2 (pow phi1 2))) (* 1/384 lambda2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda2) (*.f64 #s(literal 1/384 binary64) lambda2)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda2)) (*.f64 phi1 phi1) lambda2)
(* R phi1)
(*.f64 phi1 R)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) phi1)
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(*.f64 (+.f64 (fma.f64 (*.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)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 R) (/.f64 phi2 phi1))) R) phi1)
(* 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)))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) (*.f64 #s(literal 1/2 binary64) (*.f64 R (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))))))) R) phi1)
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1)
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(*.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)
(* 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)))))))
(*.f64 (+.f64 (fma.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)) phi1) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1) (*.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 (neg.f64 phi2) phi1)) #s(literal 1 binary64)) phi1)
(* -1 (* R phi1))
(*.f64 (neg.f64 R) phi1)
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
(*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)
(cos (+ (PI) (* -1/2 (+ phi1 phi2))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2) (PI.f64)))
(cos (* -1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2)))
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64) #s(literal 1 binary64)) phi1)
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) phi1)
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi1 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) phi1)
(* phi1 (+ 1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi1) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) phi1)) #s(literal 1 binary64)) phi1)
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi1) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) phi1)) (*.f64 (*.f64 (pow.f64 lambda2 #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64)))) #s(literal -1/8 binary64))) #s(literal 1 binary64)) phi1)
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 lambda2 #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) phi1) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) phi1)) (*.f64 (*.f64 (pow.f64 lambda2 #s(literal 6 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 6 binary64)) (pow.f64 phi1 #s(literal 6 binary64)))) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) phi1)
(* -1/2 phi1)
(*.f64 #s(literal -1/2 binary64) phi1)
(* phi1 (- (+ (* -1/2 (/ phi2 phi1)) (/ (PI) phi1)) 1/2))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)) phi1) #s(literal 1/2 binary64)) phi1)
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
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(* -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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(* -1 phi1)
(neg.f64 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
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(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
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(* -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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(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))))
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(cos (+ (PI) (* -1/2 (- phi2 (* -1 phi1)))))
(neg.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal -1/2 binary64))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
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(cos (* -1/2 (- phi2 (* -1 phi1))))
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(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
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(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
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(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))
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(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))
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(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))))
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(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow lambda2 4) (pow (cos (* -1/2 phi1)) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow lambda2 6) (pow (cos (* -1/2 phi1)) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))
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(* -1 (* phi1 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi2)) phi1)))))
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phi2
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
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(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
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(+ (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)))))))))
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(+ (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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)))) (+.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (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))) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.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 #s(literal -1/2 binary64) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (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))) #s(literal 1/4 binary64))) (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)))))) phi2)))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)))))) phi2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2)
(-.f64 (fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))) #s(literal 1/2 binary64) lambda1) lambda2)
(- (+ 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)
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 phi2 phi2) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(- (+ 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)
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (*.f64 phi2 phi2) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))
(*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))) (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (+ (PI) (* -1/2 phi1))))))) (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) lambda1) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda1 phi2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))) phi2 (*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))
(+ (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (+ (PI) (* -1/2 phi1)))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (+ (PI) (* -1/2 phi1)))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) lambda1) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda1 phi2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) phi2)) phi2 (*.f64 (*.f64 lambda1 R) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))
(cos (+ (PI) (* -1/2 phi1)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))
(+ (cos (+ (PI) (* -1/2 phi1))) (* 1/2 (* phi2 (sin (+ (PI) (* -1/2 phi1))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (cos (+ (PI) (* -1/2 phi1))) (* phi2 (- (* -1/8 (* phi2 (cos (+ (PI) (* -1/2 phi1))))) (* -1/2 (sin (+ (PI) (* -1/2 phi1)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))) phi2 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (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)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) #s(literal -1/8 binary64))) phi2 (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))) phi2 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(fma.f64 (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 (*.f64 lambda2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal -1/8 binary64))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) phi2) (*.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))
(cos (* -1/2 phi1))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 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)))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 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)))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.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)))
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)
(-.f64 (fma.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 #s(literal 1/384 binary64) (*.f64 phi2 phi2) #s(literal -1/8 binary64))) (*.f64 phi2 phi2) lambda1) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(-.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi2 phi2) #s(literal 1/384 binary64))) (*.f64 phi2 phi2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(+ (PI) (* -1/2 phi1))
(fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(*.f64 (+.f64 (fma.f64 (*.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 phi2 phi2)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 R) (/.f64 phi1 phi2))) R) phi2)
(* 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)))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (*.f64 #s(literal 1/2 binary64) (*.f64 R (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))))))) R) phi2)
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(*.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)
(* 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)))))))
(*.f64 (+.f64 (fma.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)) phi2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) (*.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 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2)
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(*.f64 (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)) phi2)
(* 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))))))
(*.f64 (+.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)) phi2)
(* 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)))))))
(*.f64 (+.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)) phi2)
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(* -1/2 phi2)
(*.f64 #s(literal -1/2 binary64) phi2)
(* phi2 (- (+ (* -1/2 (/ phi1 phi2)) (/ (PI) phi2)) 1/2))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)) phi2) #s(literal 1/2 binary64)) phi2)
(* -1 (* R phi2))
(*.f64 (neg.f64 R) phi2)
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R 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))
(* -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)))))
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 phi1 R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (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)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R))
(* -1 phi2)
(neg.f64 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) 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)))
(* -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)))))
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.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)) (*.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))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64)))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(*.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)))
(* -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)))))))
(*.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)))
(* -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))))))))
(*.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)))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(*.f64 (neg.f64 phi2) (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi1 phi2))))
(* R (* lambda1 (cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))))
(*.f64 (*.f64 lambda1 R) (neg.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64)))))
(cos (+ (PI) (* -1/2 (- phi1 (* -1 phi2)))))
(neg.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) lambda2)
(cos (* -1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64)))
(* -1 (* phi2 (+ 1/2 (* -1 (/ (+ (PI) (* -1/2 phi1)) phi2)))))
(*.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)))

rewrite237.0ms (2.4%)

Memory
-21.4MiB live, 263.2MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068542
098425
1374425
23304425
08200366
Stop Event
iter limit
node limit
iter limit
Counts
23 → 292
Calls
Call 1
Inputs
(exp.f64 (log.f64 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 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 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))) (exp.f64 (log.f64 phi2))))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))
(*.f64 (neg.f64 R) (-.f64 phi1 phi2))
(neg.f64 R)
#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)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))))
(*.f64 R lambda1)
(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)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#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))) lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) 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)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
#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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)))
#s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)
Outputs
(pow.f64 phi2 #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 phi2)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 phi2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 phi2)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 phi2)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 phi2)) (sinh.f64 (log.f64 phi2))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) phi2))
(exp.f64 (*.f64 (log.f64 phi2) #s(literal 1 binary64)))
(exp.f64 (log.f64 phi2))
(+.f64 (sinh.f64 (log.f64 phi2)) (cosh.f64 (log.f64 phi2)))
(+.f64 (cosh.f64 (log.f64 phi2)) (sinh.f64 (log.f64 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)
(*.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))
(*.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))
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(neg.f64 (*.f64 (-.f64 phi1 phi2) R))
(neg.f64 R)
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(*.f64 R (*.f64 (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))) lambda1))
(*.f64 lambda1 R)
(*.f64 R lambda1)
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(sin.f64 (+.f64 (neg.f64 (neg.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))))
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(cos.f64 (neg.f64 (neg.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(cos.f64 (neg.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))))
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(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)) (fabs.f64 phi1))
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)) (neg.f64 phi1))
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)) phi1)
(hypot.f64 (fabs.f64 phi1) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))))
(hypot.f64 (fabs.f64 phi1) (neg.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(hypot.f64 (fabs.f64 phi1) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))))
(hypot.f64 (fabs.f64 phi1) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))))
(hypot.f64 (fabs.f64 phi1) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(hypot.f64 (fabs.f64 phi1) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)))
(hypot.f64 (fabs.f64 phi1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (exp.f64 (log.f64 phi1)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (neg.f64 (fabs.f64 phi1)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (fabs.f64 (fabs.f64 phi1)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (fabs.f64 phi1))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (neg.f64 phi1))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)
(hypot.f64 (neg.f64 phi1) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))))
(hypot.f64 (neg.f64 phi1) (neg.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(hypot.f64 (neg.f64 phi1) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))))
(hypot.f64 (neg.f64 phi1) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))))
(hypot.f64 (neg.f64 phi1) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(hypot.f64 (neg.f64 phi1) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)))
(hypot.f64 (neg.f64 phi1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))
(hypot.f64 phi1 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))))
(hypot.f64 phi1 (neg.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(hypot.f64 phi1 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))))
(hypot.f64 phi1 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))))
(hypot.f64 phi1 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(hypot.f64 phi1 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)))
(hypot.f64 phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2))
(exp.f64 (*.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1 binary64)))
(*.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)))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))
(/.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)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))) #s(literal 1 binary64)))
#s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 (pow.f64 lambda2 #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (pow.f64 lambda2 #s(literal 1 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)
(*.f64 lambda2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)) #s(literal 1 binary64)))

eval113.0ms (1.1%)

Memory
8.2MiB live, 147.9MiB allocated; 32ms collecting garbage
Compiler

Compiled 37 222 to 2 888 computations (92.2% saved)

prune172.0ms (1.7%)

Memory
-15.3MiB live, 178.7MiB allocated; 93ms collecting garbage
Pruning

54 alts after pruning (48 fresh and 6 done)

PrunedKeptTotal
New52713540
Fresh123547
Picked145
Done022
Total54054594
Accuracy
98.9%
Counts
594 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.2%
(*.f64 R (sqrt.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
24.5%
(*.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))))))
24.5%
(*.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))))
21.5%
(*.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))))
19.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)))
21.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) phi1)))
45.2%
(*.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) (cos (* 1/2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (exp.f64 (log.f64 phi2)))))
52.6%
(*.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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi2)))
13.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (fma.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)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)))
15.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) 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))))) lambda1)))
22.2%
(*.f64 R #s(approx (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) 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)))) lambda2)))
22.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda2)))
52.9%
(*.f64 R #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)))
17.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
16.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
20.0%
(*.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))) lambda2)))
10.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda1)))
20.4%
(*.f64 R #s(approx (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))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
29.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
17.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (fma.f64 (*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) phi2 (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))))
15.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))))))
53.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) phi2))))
53.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) phi2))))
37.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2))))
24.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))
4.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1))))
49.9%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
8.6%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
21.5%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
8.7%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1))))
8.9%
(*.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))))))
41.3%
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
18.9%
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1))))))))
27.6%
(*.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 lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1))))))))
54.0%
#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))
12.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R) lambda2))
12.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) phi2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
14.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))))))
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 lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
7.8%
#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) phi2 (PI.f64))))))
9.6%
#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)) (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))))))
20.4%
#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)))))
19.5%
#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) phi1)))))
22.9%
#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 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))))))
22.6%
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))))
4.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.f64 #s(literal -1/2 binary64) phi2)))))
41.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 phi2 phi1)))))
52.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (-.f64 (/.f64 (*.f64 phi1 R) phi2) R) phi1)) phi2))))
30.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 R) phi1)) phi2))))
31.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
37.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))))
31.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
52.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
56.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
Compiler

Compiled 7 989 to 2 191 computations (72.6% saved)

regimes275.0ms (2.7%)

Memory
2.2MiB live, 334.1MiB allocated; 20ms collecting garbage
Counts
94 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.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)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 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 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 phi2 (/.f64 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 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
(*.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) (-.f64 #s(literal 1 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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (-.f64 (/.f64 (*.f64 phi1 R) phi2) R) 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 (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 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)) (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 lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.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))))
(*.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)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (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))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) 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 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi2 (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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))))
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(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.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 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) 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 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2)))))
(*.f64 R (hypot.f64 (-.f64 phi2 phi1) (exp.f64 (log.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #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)))) (*.f64 (fma.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)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))) lambda2)))
#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 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) 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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) 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) (-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) phi2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (neg.f64 lambda2) (/.f64 (fma.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)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (fma.f64 (*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) phi2 (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) 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) 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:

40.0ms
lambda1
32.0ms
phi2
29.0ms
lambda2
26.0ms
(*.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)))))
24.0ms
(+.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)))
Results
AccuracySegmentsBranch
79.3%3(-.f64 lambda1 lambda2)
78.1%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)))
78.1%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))))
77.4%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)))))
78.9%3R
76.8%3lambda1
74.5%2lambda2
91.6%2phi1
91.2%2phi2
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes54.0ms (0.5%)

Memory
1.0MiB live, 51.4MiB allocated; 6ms collecting garbage
Counts
64 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.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)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 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 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 phi2 (/.f64 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 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
(*.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) (-.f64 #s(literal 1 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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (-.f64 (/.f64 (*.f64 phi1 R) phi2) R) 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 (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 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)) (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 lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.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))))
(*.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)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (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))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) 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 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi2 (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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (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 (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))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (neg.f64 lambda1) (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) (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)))
(*.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))) lambda2)))
(*.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))) lambda2)))
#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 (*.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 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R) lambda2))
#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 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)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))))))
(*.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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
#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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.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 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (+.f64 (PI.f64) (/.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) (cos.f64 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)) phi1) #s(literal 1/2 binary64)) phi1)))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (*.f64 lambda2 (/.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))) (hypot.f64 (*.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)))) #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))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (hypot.f64 (*.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)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) 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 (*.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)))) #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))))
Calls

2 calls:

34.0ms
phi2
16.0ms
phi1
Results
AccuracySegmentsBranch
87.9%2phi2
80.2%2phi1
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes90.0ms (0.9%)

Memory
26.5MiB live, 72.3MiB allocated; 2ms collecting garbage
Counts
63 → 3
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.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)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 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 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 phi2 (/.f64 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 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
(*.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) (-.f64 #s(literal 1 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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (-.f64 (/.f64 (*.f64 phi1 R) phi2) R) 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 (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 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)) (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 lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.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))))
(*.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)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (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))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) 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 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi2 (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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (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 (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))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (neg.f64 lambda1) (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) (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)))
(*.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))) lambda2)))
(*.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))) lambda2)))
#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 (*.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 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R) lambda2))
#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 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)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))))))
(*.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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
#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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.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 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (+.f64 (PI.f64) (/.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) (cos.f64 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)) phi1) #s(literal 1/2 binary64)) phi1)))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (*.f64 lambda2 (/.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))) (hypot.f64 (*.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)))) #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))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (hypot.f64 (*.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)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) 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 (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))))
Calls

4 calls:

42.0ms
(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))))
15.0ms
phi1
15.0ms
phi2
14.0ms
(+.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)))
Results
AccuracySegmentsBranch
64.0%4(+.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)))
64.0%4(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))))
76.8%3phi1
79.3%3phi2
Compiler

Compiled 61 to 41 computations (32.8% saved)

regimes155.0ms (1.5%)

Memory
-31.5MiB live, 114.7MiB allocated; 9ms collecting garbage
Counts
60 → 3
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.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)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 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 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 phi2 (/.f64 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 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
(*.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) (-.f64 #s(literal 1 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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (-.f64 (/.f64 (*.f64 phi1 R) phi2) R) 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 (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 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)) (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 lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.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))))
(*.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)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (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))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) 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 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi2 (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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (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 (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))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (neg.f64 lambda1) (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) (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)))
(*.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))) lambda2)))
(*.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))) lambda2)))
#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 (*.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 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R) lambda2))
#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 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)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))))))
(*.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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
#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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.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 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (+.f64 (PI.f64) (/.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) (cos.f64 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)) phi1) #s(literal 1/2 binary64)) phi1)))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (*.f64 lambda2 (/.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))) (hypot.f64 (*.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)))) #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))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))))
Calls

7 calls:

39.0ms
phi2
29.0ms
R
26.0ms
lambda2
15.0ms
(-.f64 lambda1 lambda2)
15.0ms
phi1
Results
AccuracySegmentsBranch
72.8%3lambda2
71.2%3lambda1
74.6%3phi1
67.1%3R
60.0%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)))))
70.0%3(-.f64 lambda1 lambda2)
75.2%3phi2
Compiler

Compiled 40 to 48 computations (-20% saved)

regimes35.0ms (0.3%)

Memory
1.8MiB live, 47.8MiB allocated; 2ms collecting garbage
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.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)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 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 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 phi2 (/.f64 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 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
(*.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) (-.f64 #s(literal 1 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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (-.f64 (/.f64 (*.f64 phi1 R) phi2) R) 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 (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 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)) (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 lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.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))))
(*.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)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (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))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) 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 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi2 (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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (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 (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))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (neg.f64 lambda1) (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) (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)))
(*.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))) lambda2)))
(*.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))) lambda2)))
#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 (*.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 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R) lambda2))
#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 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)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))))))
(*.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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
#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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.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 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (+.f64 (PI.f64) (/.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) (cos.f64 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)) phi1) #s(literal 1/2 binary64)) phi1)))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (*.f64 lambda2 (/.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))
Calls

2 calls:

15.0ms
phi2
14.0ms
phi1
Results
AccuracySegmentsBranch
73.4%3phi1
73.3%3phi2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes68.0ms (0.7%)

Memory
1.6MiB live, 48.2MiB allocated; 2ms collecting garbage
Counts
58 → 3
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.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)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 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 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 phi2 (/.f64 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 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
(*.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) (-.f64 #s(literal 1 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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (-.f64 (/.f64 (*.f64 phi1 R) phi2) R) 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 (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 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)) (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 lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.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))))
(*.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)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (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))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) 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 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi2 (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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (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 (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))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (neg.f64 lambda1) (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) (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)))
(*.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))) lambda2)))
(*.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))) lambda2)))
#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 (*.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 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R) lambda2))
#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 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)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))))))
(*.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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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)))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 phi2) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2)))
#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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.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 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (+.f64 (PI.f64) (/.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) (cos.f64 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)) phi1) #s(literal 1/2 binary64)) phi1)))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda1))))))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
Calls

3 calls:

35.0ms
lambda2
14.0ms
phi1
14.0ms
phi2
Results
AccuracySegmentsBranch
66.1%3lambda2
72.5%3phi2
72.2%3phi1
Compiler

Compiled 3 to 15 computations (-400% saved)

regimes85.0ms (0.8%)

Memory
13.2MiB live, 60.3MiB allocated; 2ms collecting garbage
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.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)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 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 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 phi2 (/.f64 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 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1))))
(*.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) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
(*.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) (-.f64 #s(literal 1 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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (/.f64 (*.f64 (fma.f64 phi1 R (*.f64 (neg.f64 phi2) R)) phi2) (*.f64 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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (-.f64 (/.f64 (*.f64 phi1 R) phi2) R) 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 (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (-.f64 (*.f64 (/.f64 lambda2 lambda1) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 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)) (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 lambda1) (cos.f64 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (*.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))))
(*.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)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) 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 (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (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))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
#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)) (PI)) (fma.f64 #s(literal -1/2 binary64) 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 #s(approx (+ (* -1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal -1/2 binary64) phi2 (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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (fma.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* 1/2 (+ phi2 phi1)) (PI)) (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 (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))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) (* (exp (log phi2)) (exp (log phi2))))) (*.f64 (neg.f64 lambda1) (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) (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)))
(*.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))) lambda2)))
(*.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))) lambda2)))
#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 (*.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 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R) lambda2))
#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 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)))) #s(approx (* (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (+.f64 lambda1 (neg.f64 lambda2))))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R 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))) (*.f64 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
Calls

4 calls:

43.0ms
lambda1
13.0ms
phi2
13.0ms
(-.f64 lambda1 lambda2)
12.0ms
phi1
Results
AccuracySegmentsBranch
68.0%2(-.f64 lambda1 lambda2)
65.2%3lambda1
66.1%3phi1
70.0%3phi2
Compiler

Compiled 6 to 21 computations (-250% saved)

regimes69.0ms (0.7%)

Memory
-5.6MiB live, 48.5MiB allocated; 6ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.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)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 (neg.f64 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 phi1) (-.f64 R (*.f64 R (/.f64 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) (-.f64 R (*.f64 phi2 (/.f64 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 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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 (*.f64 R (/.f64 phi1 phi2))) phi2))
Calls

9 calls:

36.0ms
lambda1
4.0ms
phi2
4.0ms
(-.f64 lambda1 lambda2)
4.0ms
phi1
4.0ms
R
Results
AccuracySegmentsBranch
56.7%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)))))
56.7%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)))
56.7%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))))
59.2%2lambda1
58.9%2phi1
58.5%2lambda2
59.6%2R
59.2%2(-.f64 lambda1 lambda2)
58.8%2phi2
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes13.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 R (+.f64 #s(literal -1 binary64) (/.f64 phi2 phi1))) phi1)))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
Calls

5 calls:

2.0ms
(-.f64 lambda1 lambda2)
2.0ms
lambda1
2.0ms
R
2.0ms
phi2
2.0ms
phi1
Results
AccuracySegmentsBranch
58.8%2phi2
56.7%1phi1
56.7%1lambda1
58.4%2(-.f64 lambda1 lambda2)
56.7%1R
Compiler

Compiled 7 to 26 computations (-271.4% saved)

regimes8.0ms (0.1%)

Memory
-32.9MiB live, 14.0MiB allocated; 1ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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))) (*.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))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
Calls

3 calls:

3.0ms
(-.f64 lambda1 lambda2)
2.0ms
phi2
2.0ms
lambda2
Results
AccuracySegmentsBranch
56.7%1(-.f64 lambda1 lambda2)
56.7%1lambda2
56.7%1phi2
Compiler

Compiled 5 to 16 computations (-220% saved)

regimes12.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
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)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
Calls

9 calls:

1.0ms
phi2
1.0ms
(-.f64 lambda1 lambda2)
1.0ms
lambda2
1.0ms
phi1
1.0ms
lambda1
Results
AccuracySegmentsBranch
35.8%3lambda2
35.4%3(-.f64 lambda1 lambda2)
31.8%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)))))
31.8%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)))
31.8%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))))
34.3%2R
35.0%2lambda1
52.5%2phi1
52.4%2phi2
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes9.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

8 calls:

1.0ms
(-.f64 lambda1 lambda2)
1.0ms
R
1.0ms
phi2
1.0ms
phi1
1.0ms
lambda2
Results
AccuracySegmentsBranch
31.8%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)))
31.8%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))))
31.8%1(-.f64 lambda1 lambda2)
31.8%1lambda2
31.8%1R
31.8%1lambda1
31.8%1phi2
31.8%1phi1
Compiler

Compiled 67 to 62 computations (7.5% saved)

bsearch27.0ms (0.3%)

Memory
-28.4MiB live, 18.3MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-0.08937370772677274
-1.121752873340905e-6
Samples
13.0ms118×0valid
6.0ms26×1valid
Compiler

Compiled 809 to 472 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 4.0ms (29.4% of total)
ival-hypot: 2.0ms (14.7% of total)
ival-cos: 2.0ms (14.7% of total)
ival-mult: 2.0ms (14.7% of total)
ival-add: 1.0ms (7.4% of total)
ival-div: 1.0ms (7.4% of total)
adjust: 1.0ms (7.4% 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
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
5.489497901182985e+32
5.083219048745063e+34
Samples
11.0ms54×1valid
5.0ms58×0valid
Compiler

Compiled 784 to 428 computations (45.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
adjust: 2.0ms (16.5% of total)
ival-hypot: 2.0ms (16.5% of total)
ival-cos: 2.0ms (16.5% of total)
ival-mult: 2.0ms (16.5% of total)
ival-add: 1.0ms (8.3% of total)
ival-div: 1.0ms (8.3% of total)
ival-sub: 1.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch60.0ms (0.6%)

Memory
-4.6MiB live, 41.6MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.1749623911140179e-7
3.7715463446046814e-6
39.0ms
7.210255615610722e-236
1.8289113424803343e-230
Samples
17.0ms204×0valid
11.0ms52×1valid
Compiler

Compiled 1 955 to 1 046 computations (46.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-hypot: 4.0ms (19.7% of total)
ival-cos: 4.0ms (19.7% of total)
ival-mult: 4.0ms (19.7% of total)
ival-sub: 3.0ms (14.7% of total)
ival-div: 2.0ms (9.8% of total)
adjust: 2.0ms (9.8% of total)
ival-add: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
-32.3MiB live, 17.8MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1749623911140179e-7
3.7715463446046814e-6
10.0ms
-7.851958709530758e-254
-4.6681014325221664e-254
Samples
4.0ms49×0valid
3.0ms15×1valid
Compiler

Compiled 1 327 to 718 computations (45.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (18.7% of total)
adjust: 1.0ms (18.7% of total)
ival-hypot: 1.0ms (18.7% of total)
ival-sub: 1.0ms (18.7% of total)
ival-cos: 1.0ms (18.7% of total)
ival-mult: 1.0ms (18.7% 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)

bsearch33.0ms (0.3%)

Memory
46.5MiB live, 46.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.6930277521399783e-308
2.6275859759641773e-306
12.0ms
-1.1031950663439222e+53
-7.306002088780723e+52
Samples
11.0ms55×1valid
10.0ms121×0valid
Compiler

Compiled 1 299 to 706 computations (45.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-hypot: 3.0ms (19.1% of total)
ival-cos: 3.0ms (19.1% of total)
ival-mult: 3.0ms (19.1% of total)
adjust: 2.0ms (12.8% of total)
ival-sub: 2.0ms (12.8% of total)
ival-add: 1.0ms (6.4% of total)
ival-div: 1.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory
-4.2MiB live, 41.3MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
0.04014043691082707
128020.71625636806
1.0ms
-7.851958709530758e-254
-4.6681014325221664e-254
Samples
12.0ms118×0valid
5.0ms26×1valid
Compiler

Compiled 1 441 to 801 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 3.0ms (24.2% of total)
ival-hypot: 2.0ms (16.2% of total)
ival-mult: 2.0ms (16.2% of total)
ival-add: 1.0ms (8.1% of total)
ival-div: 1.0ms (8.1% of total)
adjust: 1.0ms (8.1% of total)
ival-sub: 1.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
-12.0MiB live, 34.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
3.166403556657129e-10
1.1749623911140179e-7
1.0ms
-7.851958709530758e-254
-4.6681014325221664e-254
Samples
9.0ms103×0valid
5.0ms25×1valid
Compiler

Compiled 1 611 to 862 computations (46.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-hypot: 2.0ms (19.6% of total)
ival-cos: 2.0ms (19.6% of total)
ival-mult: 2.0ms (19.6% of total)
ival-add: 1.0ms (9.8% of total)
ival-div: 1.0ms (9.8% of total)
adjust: 1.0ms (9.8% of total)
ival-sub: 1.0ms (9.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
5.155130911062256e+167
5.922915910788709e+168
Samples
1.0ms14×0valid
0.0ms1valid
Compiler

Compiled 127 to 73 computations (42.5% saved)

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

bsearch13.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
1.5572671108954768e-201
4.360434992694125e-201
Samples
6.0ms65×0valid
3.0ms15×1valid
Compiler

Compiled 570 to 317 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
adjust: 1.0ms (16.3% of total)
ival-div: 1.0ms (16.3% of total)
ival-mult: 1.0ms (16.3% of total)
ival-hypot: 1.0ms (16.3% of total)
ival-sub: 1.0ms (16.3% of total)
ival-cos: 1.0ms (16.3% 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)

bsearch42.0ms (0.4%)

Memory
-19.2MiB live, 27.2MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
-0.08937370772677274
-1.121752873340905e-6
Samples
7.0ms83×0valid
3.0ms13×1valid
Compiler

Compiled 674 to 382 computations (43.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-hypot: 2.0ms (27.9% of total)
adjust: 1.0ms (13.9% of total)
ival-div: 1.0ms (13.9% of total)
ival-add: 1.0ms (13.9% of total)
ival-mult: 1.0ms (13.9% of total)
ival-sub: 1.0ms (13.9% of total)
ival-cos: 1.0ms (13.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify62.0ms (0.6%)

Memory
-11.4MiB live, 40.5MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01541489
12781488
26331488
315241488
436631468
567311468
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 phi1 #s(literal -3602879701896397/288230376151711744 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 32999999999999998780443374875836416 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)))) #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)))))
(if (<=.f64 phi2 #s(literal 5906773933185461/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)))) (if (<=.f64 phi2 #s(literal 2184094498327211/590295810358705651712 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))))))
(if (<=.f64 phi2 #s(literal -8716859763738477/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2)))) (if (<=.f64 phi2 #s(literal 2184094498327211/590295810358705651712 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))))))
(if (<=.f64 phi1 #s(literal -73999999999999999498350201902760470258166424703860736 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))) (if (<=.f64 phi1 #s(literal 375551055941299/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))))
(if (<=.f64 phi2 #s(literal -8716859763738477/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2)))) (if (<=.f64 phi2 #s(literal 5/2 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi2))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))))
(if (<=.f64 phi2 #s(literal -8716859763738477/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2)))) (if (<=.f64 phi2 #s(literal 3022314549036573/151115727451828646838272 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))) (*.f64 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1))))))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))))
(if (<=.f64 R #s(literal 999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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 (*.f64 R (/.f64 phi1 phi2))) phi2)))
(if (<=.f64 phi2 #s(literal 2550989171684669/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2)))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
(if (<=.f64 phi1 #s(literal -3098476543630901/36028797018963968 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 (* 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))))) (*.f64 R phi2))
Outputs
(if (<=.f64 phi1 #s(literal -3602879701896397/288230376151711744 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 32999999999999998780443374875836416 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)))) #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)))))
(if (<=.f64 phi2 #s(literal 5906773933185461/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912 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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) phi1)))) (if (<=.f64 phi2 #s(literal 2184094498327211/590295810358705651712 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))))))
(if (<=.f64 phi2 #s(literal -8716859763738477/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2)))) (if (<=.f64 phi2 #s(literal 2184094498327211/590295810358705651712 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))))))
(if (<=.f64 phi1 #s(literal -73999999999999999498350201902760470258166424703860736 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))) (if (<=.f64 phi1 #s(literal 375551055941299/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.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))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))))
(if (<=.f64 phi2 #s(literal -8716859763738477/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2)))) (if (<=.f64 phi2 #s(literal 5/2 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi2))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))))
(if (<=.f64 phi2 #s(literal -8716859763738477/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2)))) (if (<=.f64 phi2 #s(literal 3022314549036573/151115727451828646838272 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))) (*.f64 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* 1/2 phi2)) lambda1)) (cos (* 1/2 phi2))) (-.f64 #s(literal 1 binary64) (/.f64 lambda2 lambda1))))))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))))
(if (<=.f64 R #s(literal 999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.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 (*.f64 R (/.f64 phi1 phi2))) phi2)))
(if (<=.f64 phi2 #s(literal 2550989171684669/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 #s(approx (- (/ R phi2) (/ R phi1)) (/.f64 R phi2)) phi2)))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (neg.f64 R) (-.f64 phi1 phi2))))
(if (<=.f64 phi1 #s(literal -3098476543630901/36028797018963968 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 (* 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))))) (*.f64 R phi2))

derivations827.0ms (8.2%)

Memory
2.3MiB live, 475.1MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012539312
146468657
083128044
0136310035
150569336
084408660
08847896
133797359
084306848
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 489 to 156 computations (89.5% saved)

preprocess87.0ms (0.9%)

Memory
8.1MiB live, 103.7MiB allocated; 10ms collecting garbage
Remove

(sort lambda1 lambda2)

(negabs R)

Compiler

Compiled 3 762 to 610 computations (83.8% saved)

end0.0ms (0%)

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

Profiling

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