Equirectangular approximation to distance on a great circle

Time bar (total: 9.9s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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)

sample2.4s (24.6%)

Memory
-112.5MiB live, 1 494.5MiB allocated; 1.3s collecting garbage
Samples
1.2s1 831×1valid
875.0ms6 425×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
adjust: 803.0ms (49.5% of total)
ival-hypot: 212.0ms (13.1% of total)
ival-sub: 170.0ms (10.5% of total)
ival-cos: 147.0ms (9.1% of total)
ival-mult: 120.0ms (7.4% of total)
ival-div: 107.0ms (6.6% of total)
ival-add: 49.0ms (3% of total)
ival-true: 6.0ms (0.4% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain392.0ms (4%)

Memory
-8.3MiB live, 316.9MiB allocated; 34ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1870-0-(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
61121(-2.6539391367500906e-55 -17.188654877176084 -6.946157085349219e+241 -3.5716178659024635e-85 -1.0801317295043955e+216)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
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-rescue1850
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))overflow118
(*.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)))))overflow126
(+.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)))overflow185
cos.f64(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))sensitivity1820
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-rescue20
(*.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)))))underflow19
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))underflow2
Confusion
Predicted +Predicted -
+1130
-10835
Precision
0.5113122171945701
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11300
-108035
Precision?
0.5113122171945701
Recall?
1.0
Freqs
test
numberfreq
035
173
2148
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
149.0ms356×1valid
19.0ms156×0valid
Compiler

Compiled 346 to 55 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-cos: 51.0ms (38.1% of total)
ival-mult: 25.0ms (18.7% of total)
adjust: 22.0ms (16.5% of total)
ival-hypot: 13.0ms (9.7% of total)
ival-sub: 8.0ms (6% of total)
ival-add: 8.0ms (6% of total)
ival-div: 6.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess206.0ms (2.1%)

Memory
17.9MiB live, 159.3MiB allocated; 23ms 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
0.1MiB live, 0.1MiB 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
58.3%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (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)

simplify185.0ms (1.9%)

Memory
-48.3MiB live, 116.5MiB allocated; 56ms 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)

localize99.0ms (1%)

Memory
0.7MiB live, 88.5MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
accuracy0.1640625
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
accuracy12.958869093323427
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
accuracy43.269677158886786
(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
67.0ms178×1valid
9.0ms78×0valid
Compiler

Compiled 157 to 19 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 12.0ms (24% of total)
ival-cos: 11.0ms (22% of total)
adjust: 9.0ms (18% of total)
ival-hypot: 6.0ms (12% of total)
ival-sub: 4.0ms (8% of total)
ival-add: 4.0ms (8% of total)
ival-div: 3.0ms (6% 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
31.3MiB live, 89.1MiB allocated; 9ms 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
29.0ms
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))))
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))))
4.0ms
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))))

simplify246.0ms (2.5%)

Memory
6.8MiB live, 193.2MiB allocated; 20ms 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))))

rewrite230.0ms (2.3%)

Memory
7.1MiB live, 235.7MiB allocated; 30ms 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 (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 (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 (-.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)))

eval159.0ms (1.6%)

Memory
-19.6MiB live, 211.3MiB allocated; 51ms collecting garbage
Compiler

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

prune42.0ms (0.4%)

Memory
-7.6MiB live, 98.6MiB allocated; 8ms collecting garbage
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New75723780
Fresh000
Picked101
Done000
Total75823781
Accuracy
98.0%
Counts
781 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(*.f64 R (sqrt.f64 (fma.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))))
47.7%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (sin.f64 (/.f64 (+.f64 (PI.f64) (+.f64 phi2 phi1)) #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)))))
48.8%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (/ (+ phi1 phi2) 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
42.6%
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
23.2%
(*.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))))
24.6%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
69.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
78.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
51.0%
(*.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)))
52.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
38.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 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)))))))
23.4%
(*.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))))))
24.3%
(*.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)))
35.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
17.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
42.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2))
52.4%
#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))
11.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
24.3%
#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 (*.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) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
11.5%
#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)))))
53.3%
#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 R (/.f64 phi2 phi1)))))
27.4%
#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 1 962 to 1 092 computations (44.3% saved)

simplify115.0ms (1.2%)

Memory
3.6MiB live, 94.7MiB allocated; 6ms 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 (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))))))
cost-diff0
(*.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) (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-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-diff4
(*.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)))))
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
(-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
cost-diff0
#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))
cost-diff0
(*.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)))
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) 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
046535
072535
1160535
2426535
31128532
42778507
55435507
08408363
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
#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
(*.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)))
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))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))
#s(literal 1 binary64)
(/.f64 phi1 phi2)
phi1
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)))) (*.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)))))))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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))))))
(*.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)))))
(neg.f64 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))))
(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
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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) 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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) phi1))
(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 lambda2 lambda1)) phi1)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
(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
#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
(*.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)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))
#s(literal 1 binary64)
(/.f64 phi1 phi2)
phi1
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 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) 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 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2))
(*.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)))
(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
lambda2
(*.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) (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 #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 (*.f64 #s(literal 1 binary64) lambda2) lambda1))) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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))))))
#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 (*.f64 #s(literal 1 binary64) lambda2) 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)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 (*.f64 #s(literal 1 binary64) lambda2) lambda1))
(neg.f64 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

localize208.0ms (2.1%)

Memory
11.9MiB live, 198.9MiB allocated; 18ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
accuracy9.01725511582223
(*.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)))))
accuracy12.958869093323427
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy39.108955304019254
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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))))))
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)))
accuracy0.19140625
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
accuracy12.958869093323427
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy50.636492668518805
#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))
accuracy0.0
(-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
accuracy8.008268929220874
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
accuracy31.260600201640642
#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))
accuracy0.0
(*.f64 R phi2)
accuracy46.4792054394391
#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) phi1)) (-.f64 lambda1 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)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
accuracy0.13671875
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
accuracy19.958646989581815
#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
127.0ms178×1valid
38.0ms78×0valid
Compiler

Compiled 449 to 36 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-hypot: 29.0ms (21.6% of total)
ival-sub: 28.0ms (20.9% of total)
ival-cos: 23.0ms (17.1% of total)
ival-mult: 22.0ms (16.4% of total)
adjust: 15.0ms (11.2% of total)
ival-div: 8.0ms (6% of total)
ival-add: 6.0ms (4.5% of total)
ival-neg: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series69.0ms (0.7%)

Memory
21.2MiB live, 66.5MiB allocated; 5ms collecting garbage
Counts
19 → 209
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))
#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 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 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(-.f64 #s(literal 1 binary64) (/.f64 phi1 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 (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)))))
(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 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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))))))
(/.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)
(* 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 (+ phi1 phi2))))
(+ (* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))
(* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))
(/ (+ (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda1)
(/ (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 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 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))
(cos (* -1/2 (+ phi1 phi2)))
(+ (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 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 (+ phi1 phi2))) (* -1 (/ (* 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 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))))))))))
(* 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 (+ phi1 phi2))) (* -1 (/ (* 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 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 (+ phi1 phi2)))) (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (* lambda2 (+ (* -1 (/ (cos (* -1/2 (+ phi1 phi2))) lambda2)) (/ (cos (* -1/2 (+ phi1 phi2))) lambda1))))
(* 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)
phi2
(+ phi2 (* -1 phi1))
1
(+ 1 (* -1 (/ phi1 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))))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(+ (* -1 (* lambda1 (* phi1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* 1/48 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))))))
(+ (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)))))))
(/ (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)))))))
(* 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 phi1)
(* phi1 (- (/ phi2 phi1) 1))
(* -1 (/ phi1 phi2))
(* phi1 (- (/ 1 phi1) (/ 1 phi2)))
(* -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)))))
(* -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))))))))
(* -1 (* phi1 (- (/ 1 phi2) (/ 1 phi1))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1)))))
(+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1)))
(/ (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)))))))))))
(/ (- phi2 phi1) phi2)
(+ (* 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))))))
(+ (* -1 (* lambda1 (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))))))
(+ (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)))))))
(/ (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 (+ 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)))))))
(* -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 (- (/ phi1 phi2) 1)))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))))
(+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))
(/ (cos (* -1/2 (- phi1 (* -1 phi2)))) lambda1)
Calls

15 calls:

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

simplify227.0ms (2.3%)

Memory
-11.7MiB live, 171.2MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011718918
143848830
081768135
Stop Event
iter limit
node limit
Counts
209 → 207
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R 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 (+ phi1 phi2))))
(+ (* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))
(* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))
(/ (+ (* -1 (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda1)
(/ (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 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 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))
(cos (* -1/2 (+ phi1 phi2)))
(+ (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 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 (+ phi1 phi2))) (* -1 (/ (* 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 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))))))))))
(* 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 (+ phi1 phi2))) (* -1 (/ (* 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 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 (+ phi1 phi2)))) (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (* lambda2 (+ (* -1 (/ (cos (* -1/2 (+ phi1 phi2))) lambda2)) (/ (cos (* -1/2 (+ phi1 phi2))) lambda1))))
(* 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)
phi2
(+ phi2 (* -1 phi1))
1
(+ 1 (* -1 (/ phi1 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))))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(+ (* -1 (* lambda1 (* phi1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* 1/48 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))))))
(+ (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)))))))
(/ (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)))))))
(* 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 phi1)
(* phi1 (- (/ phi2 phi1) 1))
(* -1 (/ phi1 phi2))
(* phi1 (- (/ 1 phi1) (/ 1 phi2)))
(* -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)))))
(* -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))))))))
(* -1 (* phi1 (- (/ 1 phi2) (/ 1 phi1))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1)))))
(+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1)))
(/ (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)))))))))))
(/ (- phi2 phi1) phi2)
(+ (* 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))))))
(+ (* -1 (* lambda1 (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))))))
(+ (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)))))))
(/ (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 (+ 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)))))))
(* -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 (- (/ phi1 phi2) 1)))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))))
(+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))
(/ (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)
(* 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 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* 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 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* 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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 R lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (neg.f64 (*.f64 (*.f64 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 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
(+ (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 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
(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 (fma.f64 (*.f64 (*.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) (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))))) #s(literal 1/2 binary64) (*.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))
(+ (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 (-.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)))) (*.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))))))) 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 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))))
(fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(+ (* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))
(fma.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))
(* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))
(*.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 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)
(/ (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 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 R (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 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 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (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 (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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(* 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 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) 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 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))
(*.f64 (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda1)
(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)))
(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 (* 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 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) lambda1) (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R)) (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) (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 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -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 phi2 phi1))) 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 phi2 phi1))))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -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 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 (+ 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)))))
(* 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 (fma.f64 (*.f64 (*.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))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.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))
(+ (* 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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 R lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
(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 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(+ (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 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(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 (fma.f64 (*.f64 (*.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) (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))))) #s(literal 1/2 binary64) (*.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 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 (-.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)))) (*.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))))))) 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))
(* 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 R (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 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 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda2))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (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 (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 (+.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 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))))))))))
(*.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)
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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)
(-.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)
(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2)
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2)
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2)
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) (*.f64 #s(literal 1/384 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2)
phi2
(+ phi2 (* -1 phi1))
(fma.f64 #s(literal -1 binary64) phi1 phi2)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ phi1 phi2)))
(fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))
(* 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))))))))))
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(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 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal -1/8 binary64))) 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)))
(* -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 (* phi1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))
(neg.f64 (fma.f64 (*.f64 lambda1 phi1) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (*.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)))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))))))
(fma.f64 (neg.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 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda1 (*.f64 (*.f64 lambda1 phi1) (fma.f64 (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) #s(literal 1/8 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal -1/8 binary64)))))) phi1))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* 1/48 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))))))
(fma.f64 (fma.f64 (neg.f64 lambda1) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (*.f64 (neg.f64 (fma.f64 (*.f64 lambda1 phi1) (*.f64 #s(literal 1/48 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) #s(literal 1/8 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal -1/8 binary64))) lambda1))) phi1)) phi1 (*.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)))))
(+ (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)))
(+ (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)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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)))))))
(+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) #s(literal 1/8 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal -1/8 binary64))) 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)) (+ (* -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)))))))
(+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/48 binary64) (-.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) #s(literal 1/8 binary64)))) 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)
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)
(+ (* 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))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda1) phi1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) 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))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal -1/8 binary64))) lambda1) phi1 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) #s(literal 1/2 binary64))) phi1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1))
(* 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 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 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)))))))
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phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(*.f64 (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #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))))))
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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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(* 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))))))
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(* 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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(* (cos (* -1/2 phi1)) (- lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(* -1 phi1)
(neg.f64 phi1)
(* phi1 (- (/ phi2 phi1) 1))
(*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1)
(* -1 (/ phi1 phi2))
(/.f64 (neg.f64 phi1) phi2)
(* phi1 (- (/ 1 phi1) (/ 1 phi2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)
(* -1 (* R phi1))
(*.f64 (neg.f64 R) 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)))))
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1))) #s(literal -1/2 binary64) (*.f64 phi2 R)) phi1) #s(literal -1 binary64) R))
(* -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 (+ 1 (* -1 (/ phi2 phi1)))))
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)))
(* -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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(* -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)))))))
(*.f64 (neg.f64 phi1) (+.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)))
(* -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 phi2) (/ 1 phi1))))
(*.f64 (neg.f64 phi1) (-.f64 (/.f64 #s(literal 1 binary64) phi2) (/.f64 #s(literal 1 binary64) phi1)))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(*.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) lambda2)
(cos (* -1/2 (- phi2 (* -1 phi1))))
(cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64)))
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1)))))
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(fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) lambda1) (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))))
(/ (cos (* -1/2 (- phi2 (* -1 phi1)))) lambda1)
(/.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) lambda1)
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R)
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(+ (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)))
(+ (* -1 (* lambda1 (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))
(neg.f64 (fma.f64 (*.f64 lambda1 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)))) (*.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)))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))))))
(fma.f64 (neg.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 (*.f64 (neg.f64 (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)))) lambda1 (*.f64 (*.f64 lambda1 phi2) (fma.f64 #s(literal 1/8 binary64) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))) phi2))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))))))
(fma.f64 (fma.f64 (neg.f64 lambda1) (*.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)))) (*.f64 (neg.f64 (fma.f64 (*.f64 lambda1 phi2) (*.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)))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda1))) phi2)) phi2 (*.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)))))
(+ (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)))
(+ (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)))))))
(+.f64 (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 (/.f64 (*.f64 (neg.f64 lambda2) (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)))))))
(+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) (*.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)))
(+ (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)))))))
(+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (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) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1))))) 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 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) 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 (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 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)))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (*.f64 #s(literal 1/2 binary64) (fma.f64 R (*.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) 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 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)))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2)
(* -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) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 R (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R))
(* -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 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64)))
(* -1 (* phi2 (- (/ phi1 phi2) 1)))
(*.f64 (neg.f64 phi2) (-.f64 (/.f64 phi1 phi2) #s(literal 1 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 (* lambda1 (+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) lambda1) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64)))))
(+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))
(fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) lambda1) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))))
(/ (cos (* -1/2 (- phi1 (* -1 phi2)))) lambda1)
(/.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) lambda1)

rewrite229.0ms (2.3%)

Memory
-2.5MiB live, 141.6MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046474
072375
1261375
22182375
09110330
Stop Event
iter limit
node limit
iter limit
Counts
19 → 198
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))
#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 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 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(-.f64 #s(literal 1 binary64) (/.f64 phi1 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 (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)))))
(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 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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)))))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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))))))
(/.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) phi1))) 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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1)))
#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) phi1))) phi1))
(*.f64 (neg.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 phi1 phi1) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 phi1 #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 (*.f64 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 6 binary64)) (pow.f64 phi1 #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)) (+.f64 (pow.f64 phi1 #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) (*.f64 (neg.f64 phi1) phi1))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) (*.f64 phi1 phi1))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 3 binary64)) (pow.f64 phi1 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 phi1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)) (pow.f64 (*.f64 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 (neg.f64 phi1))))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))) (exp.f64 (log.f64 phi1)))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))) (neg.f64 phi1))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))) phi1)
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 phi1))) (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 phi1))) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 phi1))) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 phi1))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 phi1))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (neg.f64 (neg.f64 phi1))))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (exp.f64 (log.f64 phi1)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 phi1))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1)
(hypot.f64 (exp.f64 (log.f64 phi1)) (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (exp.f64 (log.f64 phi1)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 (neg.f64 phi1)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))) (neg.f64 (neg.f64 (neg.f64 phi1))))
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))) (exp.f64 (log.f64 phi1)))
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))) (neg.f64 phi1))
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))) phi1)
(hypot.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)) (neg.f64 (neg.f64 (neg.f64 phi1))))
(hypot.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)) (exp.f64 (log.f64 phi1)))
(hypot.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)) (neg.f64 phi1))
(hypot.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)) phi1)
(hypot.f64 (neg.f64 phi1) (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (neg.f64 phi1) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (neg.f64 phi1) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 phi1) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (neg.f64 phi1) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (neg.f64 (neg.f64 phi1))))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (exp.f64 (log.f64 phi1)))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (neg.f64 phi1)))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 phi1))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1)
(hypot.f64 phi1 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 phi1 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 phi1 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))))
(hypot.f64 phi1 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))
(hypot.f64 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (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) phi1)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #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) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))) (sqrt.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))) (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 lambda1 lambda2)))
(*.f64 (sqrt.f64 (-.f64 lambda1 lambda2)) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (sqrt.f64 (*.f64 (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 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) phi1)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(*.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 (-.f64 lambda2 lambda1)))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (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) phi1))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64))
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(-.f64 (*.f64 (*.f64 (neg.f64 lambda1) (neg.f64 lambda2)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) (*.f64 (neg.f64 (neg.f64 lambda1)) (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)))) (*.f64 (*.f64 (neg.f64 lambda1) (neg.f64 lambda2)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(+.f64 (*.f64 (*.f64 (neg.f64 lambda1) (neg.f64 lambda2)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 (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)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 (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)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 (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)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 (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)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64))) (-.f64 (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)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.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))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 (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)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (-.f64 (/.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)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1) #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 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64)) (*.f64 (/.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)))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 (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)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64))))
(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))))
(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))))
(fma.f64 lambda2 (neg.f64 (/.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 (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64)) (-.f64 (/.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))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (-.f64 (/.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))))))
(-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) (neg.f64 lambda2)))
(-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (neg.f64 (neg.f64 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))) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 (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)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (-.f64 (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)) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) lambda2) #s(literal 2 binary64)))))
(+.f64 (/.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))))
(+.f64 (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))
(*.f64 #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)))) (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)))) (*.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)))) (neg.f64 lambda1))))
#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)))) (neg.f64 lambda1)))
(/.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 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) (neg.f64 lambda1))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) 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)))

eval132.0ms (1.3%)

Memory
2.7MiB live, 142.0MiB allocated; 20ms collecting garbage
Compiler

Compiled 31 549 to 2 555 computations (91.9% saved)

prune53.0ms (0.5%)

Memory
26.3MiB live, 116.8MiB allocated; 6ms collecting garbage
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New44718465
Fresh41418
Picked235
Done000
Total45335488
Accuracy
98.9%
Counts
488 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(*.f64 R (sqrt.f64 (fma.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))))
48.8%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (/ (+ phi1 phi2) 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
42.6%
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
23.2%
(*.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))))
24.6%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
30.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.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 #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))))
23.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1)))
69.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
78.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
55.2%
(*.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 (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1)))
25.9%
(*.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)))
51.0%
(*.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)))
22.2%
(*.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 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) 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 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
23.4%
(*.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))))))
20.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)))))))
29.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
50.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
25.1%
(*.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) phi1))) lambda2)))
24.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
35.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
57.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
52.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
58.9%
(*.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))))
58.8%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1))))
23.8%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
9.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1))))
17.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
42.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2))
52.4%
#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))
11.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
24.3%
#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 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
11.5%
#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)))))
53.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
27.4%
#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 3 283 to 1 783 computations (45.7% saved)

simplify152.0ms (1.5%)

Memory
-19.7MiB live, 124.7MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
cost-diff1
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
cost-diff7
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
cost-diff0
(neg.f64 lambda1)
cost-diff0
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
cost-diff0
#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)))))
cost-diff0
(*.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))))))
cost-diff0
#s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1))
cost-diff0
(*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) 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) 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
052605
081605
1167605
2416587
31132584
43062584
56193584
08293438
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(-.f64 lambda1 lambda2)
lambda1
lambda2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
phi1
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2))
(*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)
#s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)
(-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2))
(/.f64 #s(literal 1 binary64) phi1)
#s(literal 1 binary64)
phi1
(/.f64 #s(literal 1 binary64) phi2)
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
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 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 lambda1)
lambda1
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
R
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda2)
lambda2
(neg.f64 lambda1)
lambda1
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal -1/2 binary64) phi2)
#s(literal -1/2 binary64)
phi2
(-.f64 lambda1 lambda2)
lambda1
lambda2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
phi1
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2))
(*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)
#s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)
(-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2))
(/.f64 #s(literal 1 binary64) phi1)
#s(literal 1 binary64)
phi1
(/.f64 #s(literal 1 binary64) phi2)
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.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))) (neg.f64 lambda1))) R)
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)))))
#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))) (neg.f64 lambda1)))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))
(neg.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)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (*.f64 lambda2 R) #s(literal -1 binary64) (*.f64 lambda1 R)) (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))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
(*.f64 (fma.f64 (*.f64 lambda2 R) #s(literal -1 binary64) (*.f64 lambda1 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)))
(*.f64 (-.f64 R (/.f64 (*.f64 lambda2 R) lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
R
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
(*.f64 (/.f64 (*.f64 (neg.f64 R) lambda2) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda2)
(*.f64 lambda2 R)
lambda2
(neg.f64 lambda1)
lambda1

localize232.0ms (2.3%)

Memory
44.4MiB live, 274.4MiB allocated; 22ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy4.2086375609325355
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
accuracy5.093244517293962
(*.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)
accuracy12.958869093323427
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy52.347495055757015
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
accuracy0.046875
(*.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))))))
accuracy0.1328125
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
accuracy12.958869093323427
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy50.87338410196754
#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)))))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
accuracy0.171875
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)
accuracy8.008268929220874
(*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)
accuracy31.260600201640642
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2))
accuracy0.0
(neg.f64 phi1)
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
accuracy44.11785591291402
#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) phi2)) (-.f64 lambda1 lambda2)) phi2)
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
accuracy0.08203125
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
accuracy26.96987111996665
#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
181.0ms178×1valid
22.0ms78×0valid
Compiler

Compiled 493 to 41 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 56.0ms (41.7% of total)
ival-cos: 24.0ms (17.9% of total)
adjust: 17.0ms (12.7% of total)
ival-div: 12.0ms (8.9% of total)
ival-hypot: 10.0ms (7.4% of total)
ival-sub: 6.0ms (4.5% of total)
ival-add: 6.0ms (4.5% of total)
ival-neg: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series115.0ms (1.2%)

Memory
-15.1MiB live, 172.0MiB allocated; 40ms collecting garbage
Counts
21 → 217
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (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)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2))
(*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)
#s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) 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))))))
#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 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(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)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))
(* -1 (* R (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* 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 (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(* -1 lambda1)
(/ (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))) lambda1)
(* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))))
(+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 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)))))))))
(* R (cos (* -1/2 (+ phi1 phi2))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* -1/2 (+ phi1 phi2)))))
(* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* -1/2 (+ phi1 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 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 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* 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 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)))
(* lambda2 (+ (* -1 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* 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 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* -1/2 (+ phi1 phi2)))))))
(* 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 phi1)
phi2
(+ phi2 (* -1 phi1))
1
(+ 1 (* -1 (/ phi1 phi2)))
(+ (* -1 (* lambda1 (cos (* -1/2 phi2)))) (* -1/2 (* lambda1 (* phi1 (sin (* -1/2 phi2))))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi2)))) (* 1/8 (* lambda1 (* phi1 (cos (* -1/2 phi2))))))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi2)))) (* phi1 (+ (* 1/48 (* lambda1 (* phi1 (sin (* -1/2 phi2))))) (* 1/8 (* lambda1 (cos (* -1/2 phi2)))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))))))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2)))))
(+ (* lambda1 (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
(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))))))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* -1/2 (/ (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))) lambda1)))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/8 (/ (* R (* lambda2 (* phi1 (cos (* -1/2 phi2))))) lambda1)))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* 1/48 (/ (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))) lambda1)) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))
(* 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 (- (/ phi2 phi1) 1))
(* -1 (/ phi1 phi2))
(* phi1 (- (/ 1 phi1) (/ 1 phi2)))
(cos (* -1/2 (+ phi1 phi2)))
(* -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)))))
(* -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 phi2) (/ 1 phi1))))
(* -1 (* lambda1 (cos (* -1/2 (- phi2 (* -1 phi1))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1)))))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* -1 (/ (* R (* lambda2 (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)
(/ (- phi2 phi1) phi2)
(* -1 (* lambda1 (cos (* -1/2 phi1))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi1)))) (* -1/2 (* lambda1 (* phi2 (sin (* -1/2 phi1))))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi1)))) (* 1/8 (* lambda1 (* phi2 (cos (* -1/2 phi1))))))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi1)))) (* phi2 (+ (* 1/48 (* lambda1 (* phi2 (sin (* -1/2 phi1))))) (* 1/8 (* lambda1 (cos (* -1/2 phi1)))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))))))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))
(+ (* lambda1 (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
(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))))))
(/ (+ phi2 (* -1 phi1)) phi2)
(* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* -1/2 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/8 (/ (* R (* lambda2 (* phi2 (cos (* -1/2 phi1))))) lambda1)))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* 1/48 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))
(* 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)))))))
(* 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 (* 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 (- (/ phi1 phi2) 1)))
(* -1 (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1))
Calls

15 calls:

TimeVariablePointExpression
31.0ms
phi1
@inf
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 1 (/ phi1 phi2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda1) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (- (/ 1 phi1) (/ 1 phi2)) phi1) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)))
8.0ms
lambda2
@inf
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 1 (/ phi1 phi2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda1) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (- (/ 1 phi1) (/ 1 phi2)) phi1) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)))
5.0ms
phi2
@inf
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 1 (/ phi1 phi2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda1) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (- (/ 1 phi1) (/ 1 phi2)) phi1) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg 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 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 1 (/ phi1 phi2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda1) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (- (/ 1 phi1) (/ 1 phi2)) phi1) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)))
5.0ms
phi2
@0
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 1 (/ phi1 phi2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda1) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1) (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (- (/ 1 phi1) (/ 1 phi2)) phi1) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1)))

simplify269.0ms (2.7%)

Memory
8.7MiB live, 241.7MiB allocated; 46ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012019334
145768707
083278100
Stop Event
iter limit
node limit
Counts
217 → 215
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))
(* -1 (* R (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* 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 (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(* -1 lambda1)
(/ (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))) lambda1)
(* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))))
(+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 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)))))))))
(* R (cos (* -1/2 (+ phi1 phi2))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* -1/2 (+ phi1 phi2)))))
(* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* -1/2 (+ phi1 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 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 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* 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 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)))
(* lambda2 (+ (* -1 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* 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 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* -1/2 (+ phi1 phi2)))))))
(* 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 phi1)
phi2
(+ phi2 (* -1 phi1))
1
(+ 1 (* -1 (/ phi1 phi2)))
(+ (* -1 (* lambda1 (cos (* -1/2 phi2)))) (* -1/2 (* lambda1 (* phi1 (sin (* -1/2 phi2))))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi2)))) (* 1/8 (* lambda1 (* phi1 (cos (* -1/2 phi2))))))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi2)))) (* phi1 (+ (* 1/48 (* lambda1 (* phi1 (sin (* -1/2 phi2))))) (* 1/8 (* lambda1 (cos (* -1/2 phi2)))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))))))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2)))))
(+ (* lambda1 (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
(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))))))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* -1/2 (/ (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))) lambda1)))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/8 (/ (* R (* lambda2 (* phi1 (cos (* -1/2 phi2))))) lambda1)))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* 1/48 (/ (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))) lambda1)) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))
(* 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 (- (/ phi2 phi1) 1))
(* -1 (/ phi1 phi2))
(* phi1 (- (/ 1 phi1) (/ 1 phi2)))
(cos (* -1/2 (+ phi1 phi2)))
(* -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)))))
(* -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 phi2) (/ 1 phi1))))
(* -1 (* lambda1 (cos (* -1/2 (- phi2 (* -1 phi1))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1)))))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* -1 (/ (* R (* lambda2 (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)
(/ (- phi2 phi1) phi2)
(* -1 (* lambda1 (cos (* -1/2 phi1))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi1)))) (* -1/2 (* lambda1 (* phi2 (sin (* -1/2 phi1))))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi1)))) (* 1/8 (* lambda1 (* phi2 (cos (* -1/2 phi1))))))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi1)))) (* phi2 (+ (* 1/48 (* lambda1 (* phi2 (sin (* -1/2 phi1))))) (* 1/8 (* lambda1 (cos (* -1/2 phi1)))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))))))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))
(+ (* lambda1 (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
(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))))))
(/ (+ phi2 (* -1 phi1)) phi2)
(* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* -1/2 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/8 (/ (* R (* lambda2 (* phi2 (cos (* -1/2 phi1))))) lambda1)))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* 1/48 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))
(* 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)))))))
(* 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 (* 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 (- (/ phi1 phi2) 1)))
(* -1 (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* -1 (/ (* R (* lambda2 (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 (+ (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)))) R)
(* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (*.f64 R lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
(* -1 (* R (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (neg.f64 R) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (neg.f64 (*.f64 R lambda1)) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(* 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 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* 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))
(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))))))))))
(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))
(* -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)) (+.f64 lambda1 (neg.f64 lambda2)))
(* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(* -1 lambda1)
(neg.f64 lambda1)
(/ (+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))) lambda1)
(/.f64 (fma.f64 (neg.f64 (*.f64 R lambda2)) (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))))) lambda1)
(* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))))
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))))
(fma.f64 (neg.f64 (*.f64 R lambda2)) (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)))))
(* 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 (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R) 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)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R)) 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 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 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R)) 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 (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)
(* 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 (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)))))))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (fma.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)
(* R (cos (* -1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* -1/2 (+ 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)))) R)
(* 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 (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R) lambda1)
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda1) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R))
(* -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))))
(* -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)))))
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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 phi2))) (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
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(* -1 (* lambda1 (+ (* -1 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* 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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(+ (* 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)))))))
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(+ (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)))))))))
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(+ (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 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 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)
(* 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)
(* 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (/.f64 phi2 lambda2) (/.f64 phi2 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)))) 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 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (fma.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 (+ (* -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)
(* lambda2 (+ (* -1 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)))
(*.f64 (fma.f64 (neg.f64 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (*.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2))) lambda2)
(* lambda2 (+ (* -1 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)))
(*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(* -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 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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.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)))
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda1 lambda2) #s(literal 1 binary64)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 lambda2))) lambda2)))
(* -1 (* lambda2 (+ (* -1 (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* -1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (*.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1))))
(* -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))))
(* 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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(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)
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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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(* -1 phi1)
(neg.f64 phi1)
phi2
(+ phi2 (* -1 phi1))
(-.f64 phi2 phi1)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ phi1 phi2)))
(-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))
(+ (* -1 (* lambda1 (cos (* -1/2 phi2)))) (* -1/2 (* lambda1 (* phi1 (sin (* -1/2 phi2))))))
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(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))
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(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
(fma.f64 (neg.f64 R) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1))) phi1 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) R)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R)))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (+ (* R (cos (* -1/2 phi2))) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))))))))))
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(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2)))))
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(+ (* lambda1 (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))))
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(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))))))
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(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
(fma.f64 (fma.f64 (*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/48 binary64) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1))) phi1 (*.f64 #s(literal -1/8 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1))))) phi1 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) R))) lambda1)) phi1 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda1))) lambda1))
(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)))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda1))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* -1/2 (/ (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))) lambda1)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) R) (neg.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda1)
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/8 (/ (* R (* lambda2 (* phi1 (cos (* -1/2 phi2))))) lambda1)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 lambda2 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) lambda1) phi1 (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda1)))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* phi1 (+ (* 1/48 (/ (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))) lambda1)) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) R) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda1) phi1 (*.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) #s(literal -1/2 binary64))) phi1 (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda1)))
(* R phi1)
(*.f64 phi1 R)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(*.f64 (-.f64 R (/.f64 (*.f64 phi2 R) 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))))))
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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))))
(*.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))))))
(*.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 #s(literal 1 binary64) (/.f64 phi2 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)))))))
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(* phi1 (- (/ phi2 phi1) 1))
(*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1)
(* -1 (/ phi1 phi2))
(/.f64 (neg.f64 phi1) phi2)
(* phi1 (- (/ 1 phi1) (/ 1 phi2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)
(cos (* -1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(* -1 (* R phi1))
(*.f64 (neg.f64 phi1) R)
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(*.f64 (neg.f64 phi1) (-.f64 R (/.f64 (*.f64 phi2 R) phi1)))
(* -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 (+ 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)))))
(*.f64 (neg.f64 phi1) (-.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)) phi1)) #s(literal -1/2 binary64) phi2) 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)))))
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(* -1 (* phi1 (- (/ 1 phi2) (/ 1 phi1))))
(*.f64 (neg.f64 phi1) (-.f64 (/.f64 #s(literal 1 binary64) phi2) (/.f64 #s(literal 1 binary64) phi1)))
(* -1 (* lambda1 (cos (* -1/2 (- phi2 (* -1 phi1))))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
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(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1)))))))
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(cos (* -1/2 (- phi2 (* -1 phi1))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1))
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
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(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R)
(+ (* 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)))))
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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 (* (+ (* -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)
(/ (- phi2 phi1) phi2)
(-.f64 #s(literal 1 binary64) (/.f64 phi1 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)))) (* -1/2 (* lambda1 (* phi2 (sin (* -1/2 phi1))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) lambda1) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) phi2) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi1)))) (* 1/8 (* lambda1 (* phi2 (cos (* -1/2 phi1))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) lambda1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 (*.f64 lambda1 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/8 binary64))) phi2 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(+ (* -1 (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/2 (* lambda1 (sin (* -1/2 phi1)))) (* phi2 (+ (* 1/48 (* lambda1 (* phi2 (sin (* -1/2 phi1))))) (* 1/8 (* lambda1 (cos (* -1/2 phi1)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 (*.f64 lambda1 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/48 binary64))) phi2 (*.f64 (*.f64 #s(literal -1/2 binary64) lambda1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda1)))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda1))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
(fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) lambda1) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1))) phi2 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R)))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (+ (* R (cos (* -1/2 phi1))) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (+ (* 1/2 (* R (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))))))))))
(fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) lambda1) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1))) phi2 (*.f64 #s(literal -1/8 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1)))) phi2 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R)))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda1))) lambda1)
(+ (* lambda1 (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))
(*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda1)))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))))))
(fma.f64 (*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1))) phi2 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R))))) phi2 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda1))) lambda1))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
(fma.f64 (fma.f64 (*.f64 lambda1 (fma.f64 (*.f64 #s(literal -1/48 binary64) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1))) phi2 (*.f64 #s(literal -1/8 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1))))) phi2 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R))) lambda1)) phi2 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda1))) lambda1))
(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)))
(/ (+ phi2 (* -1 phi1)) phi2)
(-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda1))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* -1/2 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) R) (neg.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) lambda1)
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/8 (/ (* R (* lambda2 (* phi2 (cos (* -1/2 phi1))))) lambda1)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 lambda2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) R) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) lambda1) phi2 (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda1)))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* phi2 (+ (* 1/48 (/ (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))) lambda1)) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) R) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) lambda1) phi2 (*.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda1) #s(literal -1/2 binary64))) phi2 (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 lambda1)))
(* R phi2)
(*.f64 phi2 R)
(* 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)
(* 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))
(* -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 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 (- (/ phi1 phi2) 1)))
(*.f64 (neg.f64 phi2) (-.f64 (/.f64 phi1 phi2) #s(literal 1 binary64)))
(* -1 (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2))))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 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)))) R)
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))
(*.f64 (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R) lambda1)
(cos (* -1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1))
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))

rewrite199.0ms (2%)

Memory
-9.8MiB live, 217.5MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052523
081424
1290424
22358424
09305379
Stop Event
iter limit
node limit
iter limit
Counts
21 → 201
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (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)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2))
(*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)
#s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) 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))))))
#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 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(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)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)
(/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
Outputs
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)) R)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2))
(*.f64 (neg.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))) (neg.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 (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 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (neg.f64 (neg.f64 phi2))))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (exp.f64 (log.f64 phi2)))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (neg.f64 phi2)))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 phi2))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 phi2))) (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(hypot.f64 (neg.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 (neg.f64 phi2))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 phi2))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 phi2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 (neg.f64 (neg.f64 phi2))))
(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)) (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) lambda1)) #s(literal 2 binary64))) (-.f64 (*.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))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) lambda1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (-.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)) (*.f64 lambda2 R) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 (*.f64 lambda2 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
(fma.f64 lambda2 (*.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 R (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 R (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(fma.f64 R (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) lambda1)) #s(literal 2 binary64)) (-.f64 (*.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)))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (*.f64 (neg.f64 (*.f64 lambda2 R)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))))
(-.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R))
(-.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (*.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (-.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (-.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))
(+.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(*.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)
(*.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))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) lambda1)) #s(literal 2 binary64))) lambda1) (-.f64 (*.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))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64))) lambda1) (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (-.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64))))
(/.f64 (*.f64 lambda1 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) lambda1)) #s(literal 2 binary64)))) (-.f64 (*.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))))
(/.f64 (*.f64 lambda1 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (-.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) lambda1 (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) lambda1))
(fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) lambda1 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
(fma.f64 lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (*.f64 lambda1 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))
(fma.f64 lambda1 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) lambda1) (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) lambda1))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)) lambda1) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
(+.f64 (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) (*.f64 lambda1 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))
(+.f64 (*.f64 lambda1 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(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 (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 #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 (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 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.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 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(+.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 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(+.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 (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 (/.f64 (-.f64 phi2 phi1) phi1) phi2) phi1)
(*.f64 phi1 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2))
(/.f64 (*.f64 (-.f64 (pow.f64 phi1 #s(literal -2 binary64)) (pow.f64 phi2 #s(literal -2 binary64))) phi1) (/.f64 (+.f64 phi2 phi1) (*.f64 phi2 phi1)))
(/.f64 (*.f64 (-.f64 (pow.f64 phi1 #s(literal -3 binary64)) (pow.f64 phi2 #s(literal -3 binary64))) phi1) (+.f64 (+.f64 (pow.f64 (*.f64 phi2 phi1) #s(literal -1 binary64)) (pow.f64 phi2 #s(literal -2 binary64))) (pow.f64 phi1 #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))
(/.f64 (*.f64 phi1 (-.f64 (pow.f64 phi1 #s(literal -2 binary64)) (pow.f64 phi2 #s(literal -2 binary64)))) (/.f64 (+.f64 phi2 phi1) (*.f64 phi2 phi1)))
(/.f64 (*.f64 phi1 (-.f64 (pow.f64 phi1 #s(literal -3 binary64)) (pow.f64 phi2 #s(literal -3 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 phi2 phi1) #s(literal -1 binary64)) (pow.f64 phi2 #s(literal -2 binary64))) (pow.f64 phi1 #s(literal -2 binary64))))
(/.f64 (*.f64 phi1 (-.f64 phi2 phi1)) (*.f64 phi2 phi1))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)) (*.f64 lambda2 R))
(*.f64 (*.f64 lambda2 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) (neg.f64 lambda1)))
(*.f64 lambda2 (*.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))))
(*.f64 R (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 lambda1)))
(*.f64 R (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 lambda2 R)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda1))
(/.f64 (*.f64 (neg.f64 (*.f64 lambda2 R)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))
(neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 lambda2 R) lambda1)))

eval163.0ms (1.6%)

Memory
-6.4MiB live, 143.5MiB allocated; 102ms collecting garbage
Compiler

Compiled 32 097 to 2 423 computations (92.5% saved)

prune71.0ms (0.7%)

Memory
23.1MiB live, 118.2MiB allocated; 4ms collecting garbage
Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New45117468
Fresh72027
Picked415
Done033
Total46241503
Accuracy
99.9%
Counts
503 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) R)
48.8%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (/ (+ phi1 phi2) 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
42.6%
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
23.2%
(*.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))))
24.6%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
30.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.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 #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))))
23.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1)))
78.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
55.2%
(*.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 (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1)))
25.9%
(*.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)))
51.0%
(*.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)))
22.2%
(*.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 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) 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 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
20.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)))))))
24.2%
(*.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) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
23.8%
(*.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) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
29.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
46.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) phi1)) phi2)))
25.1%
(*.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) phi1))) lambda2)))
24.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
48.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (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))))))
35.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
57.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
52.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
50.9%
(*.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))))
49.8%
(*.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))))
7.4%
(*.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)) lambda1))))
58.9%
(*.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))))
58.8%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1))))
9.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1))))
17.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (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))))) (neg.f64 lambda1))) lambda1))
17.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 lambda1))) lambda1))
15.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 lambda1))) lambda1))
52.4%
#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))
11.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
24.3%
#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 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
23.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
53.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
11.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
27.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
18.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)))
Compiler

Compiled 4 132 to 2 242 computations (45.7% saved)

simplify165.0ms (1.7%)

Memory
-9.6MiB live, 86.2MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
071766
096766
1226766
2669724
31770722
44352722
08694522
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)))) #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
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1)))
#s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))
(-.f64 phi2 phi1)
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))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1))))
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)))
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 #s(literal 1/2 binary64) phi1)
#s(literal 1/2 binary64)
phi1
lambda1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 (*.f64 R lambda1))
(*.f64 R lambda1)
R
lambda1
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2))
(*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) 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)
R
(/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 R lambda1)
lambda1
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
lambda2
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 #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 (+ (* (* (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
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1)))
#s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))
(-.f64 phi2 phi1)
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))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 #s(literal 1/2 binary64) phi1)
#s(literal 1/2 binary64)
phi1
lambda1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) R))
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) R)
(neg.f64 (*.f64 R lambda1))
(*.f64 (neg.f64 R) lambda1)
(*.f64 R lambda1)
(*.f64 lambda1 R)
R
lambda1
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda2 (-.f64 (/.f64 (*.f64 lambda1 R) lambda2) R)))))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda2 (-.f64 (/.f64 (*.f64 lambda1 R) lambda2) R))))
(*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda2 (-.f64 (/.f64 (*.f64 lambda1 R) lambda2) R)))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2))
(*.f64 (-.f64 (/.f64 (*.f64 lambda1 R) lambda2) R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(cos.f64 (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 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
(PI.f64)
R
(/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(*.f64 (/.f64 (*.f64 lambda1 R) lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda1 R))
(*.f64 R lambda1)
(*.f64 lambda1 R)
lambda1
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
lambda2

localize277.0ms (2.8%)

Memory
20.8MiB live, 254.6MiB allocated; 16ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.606372189986723
(/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
accuracy12.958869093323427
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
accuracy43.18750068165618
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
accuracy52.347495055757015
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)))
accuracy0.0
(neg.f64 (*.f64 R lambda1))
accuracy0.14453125
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
accuracy12.958869093323427
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
accuracy49.45991651559506
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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))))
accuracy0.11328125
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)
accuracy19.958646989581815
#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)))
accuracy59.757715160151
#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))
accuracy0.0
(-.f64 phi2 phi1)
accuracy0.0
#s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
accuracy31.260600201640642
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1)))
accuracy0.046875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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))))
accuracy0.1171875
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)
accuracy19.2390116998448
#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))
accuracy19.958646989581815
#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)))
Samples
181.0ms182×1valid
58.0ms74×0valid
Compiler

Compiled 531 to 55 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-mult: 70.0ms (37.4% of total)
ival-cos: 49.0ms (26.2% of total)
adjust: 24.0ms (12.8% of total)
ival-hypot: 13.0ms (6.9% of total)
ival-div: 11.0ms (5.9% of total)
ival-add: 10.0ms (5.3% of total)
ival-sub: 5.0ms (2.7% of total)
ival-neg: 3.0ms (1.6% of total)
ival-pi: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series170.0ms (1.7%)

Memory
-14.5MiB live, 126.3MiB allocated; 20ms collecting garbage
Counts
24 → 263
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)))) #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 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1)))
#s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))
(-.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))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 (*.f64 R lambda1))
(*.f64 R lambda1)
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (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))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2))
(*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* R lambda1))
(* R lambda1)
(* R (+ (cos (+ (PI) (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))
(* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* R (* lambda2 (+ (cos (+ (PI) (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)
(* -1 (* R (+ (* -1 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* -1 (* R (* lambda2 (+ (* -1 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
(* 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))))))))))
(* lambda1 (cos (* 1/2 phi1)))
(* R (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))
(+ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))
(* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))))
(+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))))
(+ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 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 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)))))))))
(* lambda1 (+ (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2) (/ (* R (cos (+ (PI) (* 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 (+ (* R (cos (* 1/2 (+ phi1 phi2)))) (/ (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))) lambda1)))
(* -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 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* -1 (/ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (* -1 (/ (* R (* lambda2 (cos (+ (PI) (* 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 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))))))))
(/ (+ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))))) lambda2)
(* 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 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 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (/ (* R (* 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 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))))))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* -1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))) (* -1 (/ (* R (* 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)))))))))))
(- 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)))))))
phi2
(+ phi2 (* -1 phi1))
lambda1
(+ lambda1 (* -1/8 (* lambda1 (pow phi1 2))))
(+ lambda1 (* (pow phi1 2) (+ (* -1/8 lambda1) (* 1/384 (* lambda1 (pow phi1 2))))))
(+ lambda1 (* (pow phi1 2) (+ (* -1/8 lambda1) (* (pow phi1 2) (+ (* -1/46080 (* lambda1 (pow phi1 2))) (* 1/384 lambda1))))))
(* -1 (* R (* lambda1 (cos (* 1/2 phi2)))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))) (* 1/2 (* R (* lambda1 (sin (* 1/2 phi2))))))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* 1/8 (* R (* lambda1 (cos (* 1/2 phi2))))))))))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (+ (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (+ (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (+ (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi2))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2)))))
(+ (* lambda1 (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(+ (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))) (* phi1 (+ (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))) (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))) (* phi1 (+ (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))) (* phi1 (+ (* lambda2 (* phi1 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi2))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* lambda2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))
(+ 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))))))
(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 (+ (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)))))))
(/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)
(+ (* -1/2 (/ (* R (* lambda1 (* phi1 (sin (* 1/2 phi2))))) lambda2)) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
(+ (* phi1 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* -1/8 (/ (* R (* lambda1 (* phi1 (cos (* 1/2 phi2))))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
(+ (* phi1 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* 1/48 (/ (* R (* lambda1 (* phi1 (sin (* 1/2 phi2))))) lambda2)))))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) 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)))))))
(* 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 phi1)
(* phi1 (- (/ phi2 phi1) 1))
(cos (* 1/2 (+ phi1 phi2)))
(cos (+ (PI) (* 1/2 (+ phi1 phi2))))
(* -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)))))
(* -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))))))))
(* -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 (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))))
(+ (* R (cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1)))))))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))
(/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)
(* 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)))))))))))
(- phi2 phi1)
(* -1 (* R (* lambda1 (cos (* 1/2 phi1)))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi1))))) (* 1/2 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/8 (* R (* lambda1 (* phi2 (cos (* 1/2 phi1)))))) (* 1/2 (* R (* lambda1 (sin (* 1/2 phi1))))))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/48 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))) (* 1/8 (* R (* lambda1 (cos (* 1/2 phi1))))))))))
(+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(+ (* R (cos (+ (PI) (* 1/2 phi1)))) (+ (* phi2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi1)))) (+ (* phi2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi1))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi1)))) (+ (* phi2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi1))))) (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi1))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))
(+ (* lambda1 (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))
(+ (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))) (* phi2 (+ (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi1))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))) (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))) (* phi2 (+ (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))) (* phi2 (+ (* lambda2 (* phi2 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi1))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* lambda2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi1))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))
(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 (+ (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)))))))
(/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)
(+ (* -1/2 (/ (* R (* lambda1 (* phi2 (sin (* 1/2 phi1))))) lambda2)) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(+ (* phi2 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* -1/8 (/ (* R (* lambda1 (* phi2 (cos (* 1/2 phi1))))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(+ (* phi2 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* 1/48 (/ (* R (* lambda1 (* phi2 (sin (* 1/2 phi1))))) lambda2)))))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(* 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)))))))
(* 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)))))))
(* -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 (- (/ phi1 phi2) 1)))
(* -1 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))))
(+ (* R (cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))
(/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)
Calls

15 calls:

TimeVariablePointExpression
47.0ms
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))) (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 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))) (* (cos (* 1/2 phi1)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda1)) (cos (* 1/2 (+ phi2 phi1)))) (neg (* R lambda1)) (* R lambda1) (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) lambda2) (* (cos (* 1/2 phi1)) lambda2) (cos (* 1/2 (+ phi2 phi1))) (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2))
42.0ms
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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 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))) (* (cos (* 1/2 phi1)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda1)) (cos (* 1/2 (+ phi2 phi1)))) (neg (* R lambda1)) (* R lambda1) (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) lambda2) (* (cos (* 1/2 phi1)) lambda2) (cos (* 1/2 (+ phi2 phi1))) (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2))
10.0ms
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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 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))) (* (cos (* 1/2 phi1)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda1)) (cos (* 1/2 (+ phi2 phi1)))) (neg (* R lambda1)) (* R lambda1) (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) lambda2) (* (cos (* 1/2 phi1)) lambda2) (cos (* 1/2 (+ phi2 phi1))) (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2))
9.0ms
lambda2
@inf
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 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))) (* (cos (* 1/2 phi1)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda1)) (cos (* 1/2 (+ phi2 phi1)))) (neg (* R lambda1)) (* R lambda1) (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) lambda2) (* (cos (* 1/2 phi1)) lambda2) (cos (* 1/2 (+ phi2 phi1))) (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2))
6.0ms
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))) (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 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)))) (* (- 1 (/ phi1 phi2)) phi2) (- 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))) (* (cos (* 1/2 phi1)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda1)) (cos (* 1/2 (+ phi2 phi1)))) (neg (* R lambda1)) (* R lambda1) (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (* (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) lambda2) (* (cos (* 1/2 phi1)) lambda2) (cos (* 1/2 (+ phi2 phi1))) (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2))

simplify213.0ms (2.2%)

Memory
20.3MiB live, 218.8MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144810992
1554110541
083049767
Stop Event
iter limit
node limit
Counts
263 → 259
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* R lambda1))
(* R lambda1)
(* R (+ (cos (+ (PI) (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))
(* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* R (* lambda2 (+ (cos (+ (PI) (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)
(* -1 (* R (+ (* -1 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* -1 (* R (* lambda2 (+ (* -1 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
(* 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))))))))))
(* lambda1 (cos (* 1/2 phi1)))
(* R (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))
(+ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))
(* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))))
(+ (* -1 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))))
(+ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 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 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)))))))))
(* lambda1 (+ (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2) (/ (* R (cos (+ (PI) (* 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 (+ (* R (cos (* 1/2 (+ phi1 phi2)))) (/ (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))) lambda1)))
(* -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 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* -1 (/ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (* -1 (/ (* R (* lambda2 (cos (+ (PI) (* 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 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))))))))
(/ (+ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))))) lambda2)
(* 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 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 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (/ (* R (* 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 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))))))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* -1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))) (* -1 (/ (* R (* 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)))))))))))
(- 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)))))))
phi2
(+ phi2 (* -1 phi1))
lambda1
(+ lambda1 (* -1/8 (* lambda1 (pow phi1 2))))
(+ lambda1 (* (pow phi1 2) (+ (* -1/8 lambda1) (* 1/384 (* lambda1 (pow phi1 2))))))
(+ lambda1 (* (pow phi1 2) (+ (* -1/8 lambda1) (* (pow phi1 2) (+ (* -1/46080 (* lambda1 (pow phi1 2))) (* 1/384 lambda1))))))
(* -1 (* R (* lambda1 (cos (* 1/2 phi2)))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))) (* 1/2 (* R (* lambda1 (sin (* 1/2 phi2))))))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* 1/8 (* R (* lambda1 (cos (* 1/2 phi2))))))))))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (+ (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (+ (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (+ (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi2))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2)))))
(+ (* lambda1 (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(+ (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))) (* phi1 (+ (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))) (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))) (* phi1 (+ (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))) (* phi1 (+ (* lambda2 (* phi1 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi2))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* lambda2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))
(+ 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))))))
(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 (+ (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)))))))
(/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)
(+ (* -1/2 (/ (* R (* lambda1 (* phi1 (sin (* 1/2 phi2))))) lambda2)) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
(+ (* phi1 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* -1/8 (/ (* R (* lambda1 (* phi1 (cos (* 1/2 phi2))))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
(+ (* phi1 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* 1/48 (/ (* R (* lambda1 (* phi1 (sin (* 1/2 phi2))))) lambda2)))))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) 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)))))))
(* 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 phi1)
(* phi1 (- (/ phi2 phi1) 1))
(cos (* 1/2 (+ phi1 phi2)))
(cos (+ (PI) (* 1/2 (+ phi1 phi2))))
(* -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)))))
(* -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))))))))
(* -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 (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))))
(+ (* R (cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* -1/2 (- phi2 (* -1 phi1)))))))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))
(/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)
(* 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)))))))))))
(- phi2 phi1)
(* -1 (* R (* lambda1 (cos (* 1/2 phi1)))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi1))))) (* 1/2 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/8 (* R (* lambda1 (* phi2 (cos (* 1/2 phi1)))))) (* 1/2 (* R (* lambda1 (sin (* 1/2 phi1))))))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/48 (* R (* lambda1 (* phi2 (sin (* 1/2 phi1)))))) (* 1/8 (* R (* lambda1 (cos (* 1/2 phi1))))))))))
(+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(+ (* R (cos (+ (PI) (* 1/2 phi1)))) (+ (* phi2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi1)))) (+ (* phi2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi1))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi1)))) (+ (* phi2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi1))))) (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi1))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))
(+ (* lambda1 (* phi2 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi1)))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (* R (sin (* -1/2 phi1)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)))))))))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))
(+ (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))) (* phi2 (+ (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi1))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))) (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))) (* phi2 (+ (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi1))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))) (* phi2 (+ (* lambda2 (* phi2 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi1))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* lambda2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi1))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))
(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 (+ (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)))))))
(/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)
(+ (* -1/2 (/ (* R (* lambda1 (* phi2 (sin (* 1/2 phi1))))) lambda2)) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(+ (* phi2 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* -1/8 (/ (* R (* lambda1 (* phi2 (cos (* 1/2 phi1))))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(+ (* phi2 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* 1/48 (/ (* R (* lambda1 (* phi2 (sin (* 1/2 phi1))))) lambda2)))))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(* 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)))))))
(* 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)))))))
(* -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 (- (/ phi1 phi2) 1)))
(* -1 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))))
(+ (* R (cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))
(/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) 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)
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* R lambda1))
(*.f64 (neg.f64 lambda1) R)
(* R lambda1)
(*.f64 lambda1 R)
(* R (+ (cos (+ (PI) (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) R)
(* R (* lambda1 (+ (cos (* -1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (*.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)
(* R (* lambda2 (+ (cos (+ (PI) (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (*.f64 R lambda2) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)
(/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* -1 (* R (+ (* -1 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(*.f64 (neg.f64 (neg.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))) R)
(* -1 (* R (* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (*.f64 (neg.f64 lambda1) R) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(* -1 (* R (* lambda2 (+ (* -1 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
(*.f64 (neg.f64 (*.f64 R lambda2)) (neg.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))))
(* 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 (fma.f64 (*.f64 (*.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))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* 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 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
(+ (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 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 (fma.f64 (*.f64 (*.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) (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))))) #s(literal 1/2 binary64) (*.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))
(+ (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))
(* lambda1 (cos (* 1/2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)
(* R (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(+ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) R)
(* -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 (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))))
(*.f64 R (fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(+ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))))
(*.f64 R (fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.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))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 R (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 (+ (* -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 (*.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)))))) (*.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)
(* lambda1 (+ (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2) (/ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) lambda1)))
(*.f64 (*.f64 R (+.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) lambda1)
(* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 lambda1 R) (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 (*.f64 R (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 (+ (* R (cos (* 1/2 (+ phi1 phi2)))) (/ (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))) lambda1)))
(*.f64 (*.f64 R (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 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda1) (*.f64 R (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 (+ (* -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 (*.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 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) (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 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -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 phi2 phi1))) 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 phi2 phi1))))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -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 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* -1 (/ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (neg.f64 (*.f64 R (+.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))))
(* -1 (* lambda1 (+ (* -1 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) lambda1))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)))
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (* -1 (/ (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (neg.f64 (*.f64 R (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
(* R (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 (*.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 (fma.f64 (*.f64 (*.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))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.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))
(+ (* 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 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(+ (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 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 (fma.f64 (*.f64 (*.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) (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))))) #s(literal 1/2 binary64) (*.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 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)
(/ (+ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) (* R (* lambda2 (cos (+ (PI) (* 1/2 (+ phi1 phi2))))))) lambda2)
(/.f64 (*.f64 R (fma.f64 (neg.f64 lambda2) (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)
(* 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 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 (neg.f64 R) (*.f64 lambda1 (/.f64 (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 (neg.f64 R) (*.f64 lambda1 (/.f64 (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 (+ (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 (* R (cos (* -1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) lambda2)))
(*.f64 (*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) R) lambda2)
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))
(*.f64 (*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) R) lambda2)
(* -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)))))))
(*.f64 (neg.f64 lambda2) (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))))
(* -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 lambda1 R) (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 (*.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 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) (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 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -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 phi2 phi1))) 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 phi2 phi1))))) (neg.f64 lambda2))) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 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 (/ (* 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))))
(* -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 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))))
(* -1 (* lambda2 (+ (* -1 (* R (cos (+ (PI) (* 1/2 (+ phi1 phi2)))))) (* -1 (/ (* R (* 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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(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)
(-.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)
phi2
(+ phi2 (* -1 phi1))
(fma.f64 #s(literal -1 binary64) phi1 phi2)
lambda1
(+ lambda1 (* -1/8 (* lambda1 (pow phi1 2))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)
(+ lambda1 (* (pow phi1 2) (+ (* -1/8 lambda1) (* 1/384 (* lambda1 (pow phi1 2))))))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)
(+ lambda1 (* (pow phi1 2) (+ (* -1/8 lambda1) (* (pow phi1 2) (+ (* -1/46080 (* lambda1 (pow phi1 2))) (* 1/384 lambda1))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)
(* -1 (* R (* lambda1 (cos (* 1/2 phi2)))))
(*.f64 (*.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (*.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/8 (* R (* lambda1 (* phi1 (cos (* 1/2 phi2)))))) (* 1/2 (* R (* lambda1 (sin (* 1/2 phi2))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) R) (*.f64 (*.f64 lambda1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (*.f64 (*.f64 lambda1 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1/2 binary64))) phi1 (*.f64 (*.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(+ (* -1 (* R (* lambda1 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/48 (* R (* lambda1 (* phi1 (sin (* 1/2 phi2)))))) (* 1/8 (* R (* lambda1 (cos (* 1/2 phi2))))))))))
(fma.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) R (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda1 phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/8 binary64))) phi1)) phi1))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
(*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (+ (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) R (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 R (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) lambda2)))) phi1 (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (+ (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) R (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 R (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) lambda2))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))) phi1)) phi1 (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
(+ (* R (cos (+ (PI) (* 1/2 phi2)))) (+ (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi2))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) R (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 R (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) lambda2))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))) (*.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 R (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) lambda2)))) phi1)) phi1)) phi1 (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (neg.f64 lambda1))) lambda1)
(+ (* lambda1 (* phi1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2))))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))))
(*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) R) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (neg.f64 lambda1)))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))))))
(fma.f64 (*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) R) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) phi1 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (neg.f64 lambda1))) lambda1))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)) (* R (cos (* -1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1)) (* 1/2 (* R (sin (* -1/2 phi2)))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (* R (sin (* -1/2 phi2)))) (* 1/48 (/ (* R (* lambda2 (sin (* -1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/8 (* R (cos (* -1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* -1/2 phi2)))) lambda1)))))))))
(fma.f64 (fma.f64 (*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal -1/48 binary64) R) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) phi1 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) R) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda1)) phi1 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (neg.f64 lambda1))) lambda1))
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))
(*.f64 (*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))) lambda2)
(+ (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))
(*.f64 lambda2 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 R (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) lambda2)))) phi1 (*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))) (* phi1 (+ (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))) (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))
(fma.f64 (*.f64 lambda2 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))) phi1 (*.f64 #s(literal -1/2 binary64) (*.f64 R (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) lambda2)))))) phi1 (*.f64 (*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))) lambda2))
(+ (* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))) (* phi1 (+ (* lambda2 (+ (* -1/2 (* R (sin (+ (PI) (* 1/2 phi2))))) (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))) (* phi1 (+ (* lambda2 (* phi1 (+ (* 1/48 (* R (sin (+ (PI) (* 1/2 phi2))))) (* 1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* lambda2 (+ (* -1/8 (* R (cos (+ (PI) (* 1/2 phi2))))) (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))
(fma.f64 (fma.f64 (*.f64 lambda2 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 R (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) lambda2)))) phi1 (*.f64 #s(literal -1/8 binary64) (*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))))) phi1 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 R (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) lambda2)))) lambda2)) phi1 (*.f64 (*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))) lambda2))
(+ 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)
(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)))
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(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))))
(/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)
(/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)
(+ (* -1/2 (/ (* R (* lambda1 (* phi1 (sin (* 1/2 phi2))))) lambda2)) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 lambda1 phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda2)
(+ (* phi1 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* -1/8 (/ (* R (* lambda1 (* phi1 (cos (* 1/2 phi2))))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
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(+ (* phi1 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* 1/48 (/ (* R (* lambda1 (* phi1 (sin (* 1/2 phi2))))) lambda2)))))) (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))
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(* 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))))))
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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 (+ 1 (* -1 (/ phi2 phi1))))
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(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
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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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(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
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(* 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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(* 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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(* phi1 (+ 1 (* 1/2 (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))
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(* 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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(* 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)
(neg.f64 phi1)
(* phi1 (- (/ phi2 phi1) 1))
(*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1)
(cos (* 1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(cos (+ (PI) (* 1/2 (+ phi1 phi2))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(* -1 (* R phi1))
(*.f64 (neg.f64 phi1) R)
(* -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 (+ 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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(* -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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(cos (* 1/2 (- phi2 (* -1 phi1))))
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(cos (+ (PI) (* 1/2 (- phi2 (* -1 phi1)))))
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(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 phi1)))) lambda1)) (* R (cos (* -1/2 phi1)))))
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(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 phi1)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))
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(cos (* 1/2 phi1))
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(+ (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)))
(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))))
(/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)
(/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)
(+ (* -1/2 (/ (* R (* lambda1 (* phi2 (sin (* 1/2 phi1))))) lambda2)) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 lambda1 phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) R) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2)
(+ (* phi2 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* -1/8 (/ (* R (* lambda1 (* phi2 (cos (* 1/2 phi1))))) lambda2)))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 lambda1 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) R) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 lambda1 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda2) phi2 (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2))
(+ (* phi2 (+ (* -1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* 1/48 (/ (* R (* lambda1 (* phi2 (sin (* 1/2 phi1))))) lambda2)))))) (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 lambda1 phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) R) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda2) phi2 (*.f64 (/.f64 (*.f64 (*.f64 lambda1 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal -1/2 binary64))) phi2 (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2))
(* R phi2)
(*.f64 phi2 R)
(* 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 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)))))))
(*.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 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 (+ 1 (* -1 (/ phi1 phi2))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi1 phi2) #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 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)))))))
(*.f64 (+.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 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2)
(* -1 (* R phi2))
(*.f64 (neg.f64 phi2) R)
(* -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 #s(literal -1 binary64) (/.f64 phi1 phi2) #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 (- (/ phi1 phi2) 1)))
(*.f64 (neg.f64 phi2) (-.f64 (/.f64 phi1 phi2) #s(literal 1 binary64)))
(* -1 (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))))
(*.f64 (*.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))))
(+ (* R (cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2))
(*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) lambda1) lambda2) (neg.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* -1/2 (- phi1 (* -1 phi2)))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64)))) (neg.f64 lambda1))) lambda1)
(* lambda2 (+ (* R (cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))) (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)))
(*.f64 (*.f64 R (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) lambda1) lambda2) (neg.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)))
(cos (+ (PI) (* 1/2 (- phi1 (* -1 phi2)))))
(neg.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))))
(/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)
(/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64)))) lambda2)

rewrite224.0ms (2.3%)

Memory
13.3MiB live, 192.4MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071688
096558
1388558
23376558
08219486
Stop Event
iter limit
node limit
iter limit
Counts
24 → 292
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)))) #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 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1)))
#s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))
(-.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))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 (*.f64 R lambda1))
(*.f64 R lambda1)
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (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))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2))
(*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))
(/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
Outputs
(*.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)
(*.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))
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#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)))
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)
(*.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 R)) lambda1))
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(*.f64 lambda1 (neg.f64 R))
(*.f64 R (neg.f64 lambda1))
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(*.f64 R lambda1)
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(fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R))
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(fma.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)))
(fma.f64 (*.f64 (neg.f64 R) lambda1) (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R))
(fma.f64 (*.f64 lambda1 R) (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R))
(fma.f64 lambda1 (*.f64 R (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2)) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R))
(fma.f64 R (/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) lambda2) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R))
(fma.f64 R (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2)) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R))
(fma.f64 R (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) #s(literal 2 binary64)) (fma.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R (*.f64 (*.f64 (neg.f64 R) lambda1) (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R (*.f64 (*.f64 (neg.f64 R) lambda1) (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2)))))
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(-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2))) lambda2)))
#s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2))) lambda2))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) #s(literal 2 binary64))) lambda2) (fma.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R (*.f64 (*.f64 (neg.f64 R) lambda1) (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) #s(literal 3 binary64))) lambda2) (fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) #s(literal 2 binary64))))
(/.f64 (*.f64 lambda2 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R (*.f64 (*.f64 (neg.f64 R) lambda1) (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2))))
(/.f64 (*.f64 lambda2 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R) lambda2 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) lambda2))
(fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) lambda2 (*.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R) lambda2))
(fma.f64 lambda2 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R) (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2))))
(fma.f64 lambda2 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) (*.f64 lambda2 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R)))
(+.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R) lambda2) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) lambda2))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2)) lambda2) (*.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R) lambda2))
(+.f64 (*.f64 lambda2 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R)) (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2))))
(+.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2))) (*.f64 lambda2 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) R)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 1 binary64)) (pow.f64 lambda2 #s(literal 1 binary64)))
(*.f64 (pow.f64 lambda2 #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #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)))
(fma.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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(sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.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))))
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(-.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))))
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(-.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 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
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(+.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))))
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(neg.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))
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(-.f64 (*.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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(cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)) (PI.f64)))) (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 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) #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))))))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (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))))))
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (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))))))
(+.f64 (*.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 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2) (*.f64 lambda1 R))
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 lambda1 R) lambda2))
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 (*.f64 (neg.f64 R) lambda1) (neg.f64 lambda2)))
(*.f64 (*.f64 (neg.f64 R) lambda1) (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)))
(*.f64 (*.f64 lambda1 R) (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2))
(*.f64 lambda1 (*.f64 R (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2)))
(*.f64 R (/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) lambda2))
(*.f64 R (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda2)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 R)) lambda1)) (neg.f64 (neg.f64 lambda2)))
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda1 R)) lambda2)
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 R)) lambda1) (neg.f64 lambda2))
(neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 R)) lambda1) lambda2))
(neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda1 R)) (neg.f64 lambda2)))

eval181.0ms (1.8%)

Memory
-15.6MiB live, 166.8MiB allocated; 32ms collecting garbage
Compiler

Compiled 48 837 to 3 397 computations (93% saved)

prune132.0ms (1.3%)

Memory
19.7MiB live, 154.2MiB allocated; 11ms collecting garbage
Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New57910589
Fresh13132
Picked235
Done044
Total58248630
Accuracy
99.9%
Counts
630 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) R)
48.8%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (/ (+ phi1 phi2) 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
42.6%
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
23.2%
(*.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))))
24.6%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
30.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.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 #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))))
23.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1)))
78.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
55.2%
(*.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 (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1)))
25.9%
(*.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)))
51.0%
(*.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)))
22.2%
(*.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 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) 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 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
20.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)))))))
23.8%
(*.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) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))))
29.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
46.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) phi1)) phi2)))
25.1%
(*.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) phi1))) lambda2)))
24.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
48.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (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))))))
35.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
57.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
52.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
50.9%
(*.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))))
49.8%
(*.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))))
7.4%
(*.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)) lambda1))))
58.9%
(*.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))))
58.8%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1))))
36.1%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2))) phi1))))
8.3%
(*.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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
9.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1))))
19.7%
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
5.6%
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
17.5%
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
17.2%
(*.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))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
17.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (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))))) (neg.f64 lambda1))) lambda1))
17.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 lambda1))) lambda1))
15.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 lambda1))) lambda1))
52.4%
#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))
11.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
24.3%
#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 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
24.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))
53.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
11.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
27.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
18.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda2)) lambda2)))
17.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 #s(approx (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) (*.f64 (*.f64 R (+.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) lambda1)) lambda2)))
13.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 #s(approx (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) (*.f64 R (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)))
Compiler

Compiled 6 509 to 1 940 computations (70.2% saved)

regimes263.0ms (2.7%)

Memory
-22.4MiB live, 276.2MiB allocated; 39ms collecting garbage
Counts
69 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.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 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R 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))) 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 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1)))
(*.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 phi2 phi1) (/.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 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) 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))))
(*.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)))) (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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (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))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 #s(approx (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) (*.f64 R (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)))
(*.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) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)))
#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))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1))
(*.f64 R (sqrt.f64 (fma.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 #s(approx (+ (* (cos (+ (* 1/2 (+ phi2 phi1)) (PI))) R) (/ (* (* R lambda1) (cos (* 1/2 (+ phi2 phi1)))) lambda2)) (*.f64 (*.f64 R (+.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) lambda1)) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 lambda1))) lambda1))
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (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) (sin.f64 (/.f64 (+.f64 (PI.f64) (+.f64 phi2 phi1)) #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 #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) phi1)))) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) lambda1) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))) R (/.f64 (*.f64 (*.f64 R lambda1) #s(approx (cos (* 1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda2)) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 lambda1))) lambda1))
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (/ (+ phi1 phi2) 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (exp.f64 (log.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)))) (*.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)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (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))))) (neg.f64 lambda1))) lambda1))
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.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 #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))))
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:

55.0ms
(-.f64 lambda1 lambda2)
37.0ms
phi1
37.0ms
phi2
36.0ms
(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))))
29.0ms
lambda2
Results
AccuracySegmentsBranch
86.0%2(-.f64 lambda1 lambda2)
82.6%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)))
82.6%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))))
82.2%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)))))
82.7%2R
78.1%1lambda1
85.4%4lambda2
93.9%2phi1
94.7%2phi2
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes27.0ms (0.3%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Counts
48 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.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 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R 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))) 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 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1)))
(*.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 phi2 phi1) (/.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 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) 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))))
(*.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)))) (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)) lambda1) phi2))))
Calls

2 calls:

12.0ms
phi2
12.0ms
phi1
Results
AccuracySegmentsBranch
88.5%2phi1
92.4%2phi2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes104.0ms (1%)

Memory
12.5MiB live, 154.1MiB allocated; 11ms collecting garbage
Counts
47 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.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 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R 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))) 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 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1)))
(*.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 phi2 phi1) (/.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 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) 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))))
(*.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
(*.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)) lambda1) 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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)) lambda1) phi2))))
Calls

8 calls:

16.0ms
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)))
14.0ms
R
12.0ms
phi1
12.0ms
lambda2
Results
AccuracySegmentsBranch
63.2%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)))))
81.1%4lambda2
63.4%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)))
63.4%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))))
68.8%3R
72.0%3(-.f64 lambda1 lambda2)
82.6%3phi1
79.9%3phi2
Compiler

Compiled 98 to 74 computations (24.5% saved)

regimes86.0ms (0.9%)

Memory
2.8MiB live, 90.9MiB allocated; 8ms collecting garbage
Counts
45 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.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 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R 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))) 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 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1)))
(*.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 phi2 phi1) (/.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 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) 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))))
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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
Calls

4 calls:

15.0ms
lambda1
11.0ms
phi2
11.0ms
phi1
11.0ms
lambda2
Results
AccuracySegmentsBranch
78.1%3lambda2
78.7%3phi2
75.7%2lambda1
75.6%3phi1
Compiler

Compiled 4 to 20 computations (-400% saved)

regimes48.0ms (0.5%)

Memory
-44.5MiB live, 54.5MiB allocated; 11ms collecting garbage
Counts
44 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.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 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R 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))) 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 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1)))
(*.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 phi2 phi1) (/.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 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1))))
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)) lambda1) 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
Calls

3 calls:

14.0ms
phi2
11.0ms
lambda2
11.0ms
lambda1
Results
AccuracySegmentsBranch
74.2%3lambda1
68.5%3lambda2
77.1%3phi2
Compiler

Compiled 3 to 15 computations (-400% saved)

regimes24.0ms (0.2%)

Memory
41.3MiB live, 41.3MiB allocated; 0ms collecting garbage
Counts
43 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.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 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R 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))) 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 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(*.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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1)))
(*.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 phi2 phi1) (/.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 (neg.f64 lambda1) #s(approx (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1)))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 lambda1)))))))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
Calls

2 calls:

11.0ms
phi2
11.0ms
phi1
Results
AccuracySegmentsBranch
71.5%3phi1
74.5%3phi2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes84.0ms (0.8%)

Memory
-11.5MiB live, 122.4MiB allocated; 9ms collecting garbage
Counts
40 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.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 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 (neg.f64 lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (cos (* -1/2 (+ phi2 phi1))) R) (/ (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (neg lambda1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R 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))) 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 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
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))) (*.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 (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))
Calls

6 calls:

22.0ms
phi2
15.0ms
phi1
13.0ms
lambda2
10.0ms
R
10.0ms
lambda1
Results
AccuracySegmentsBranch
62.8%3lambda2
57.0%1R
63.7%4phi1
61.7%3(-.f64 lambda1 lambda2)
67.8%3lambda1
57.0%1phi2
Compiler

Compiled 8 to 31 computations (-287.5% saved)

regimes8.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
25 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.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 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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 (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))
Calls

1 calls:

7.0ms
lambda1
Results
AccuracySegmentsBranch
66.7%3lambda1
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes64.0ms (0.6%)

Memory
-16.5MiB live, 85.3MiB allocated; 6ms collecting garbage
Counts
24 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #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)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))
Calls

5 calls:

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)))))
18.0ms
lambda1
6.0ms
lambda2
6.0ms
(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))))
6.0ms
(+.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
61.1%2lambda2
57.0%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)))))
57.0%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)))
57.0%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))))
59.7%2lambda1
Compiler

Compiled 93 to 58 computations (37.6% saved)

regimes14.0ms (0.1%)

Memory
-20.7MiB live, 26.1MiB allocated; 2ms collecting garbage
Counts
23 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)))
Calls

2 calls:

6.0ms
phi1
6.0ms
lambda2
Results
AccuracySegmentsBranch
61.8%3phi1
60.2%2lambda2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes25.0ms (0.3%)

Memory
41.1MiB live, 41.1MiB allocated; 0ms collecting garbage
Counts
22 → 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)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 (* (- 1 (/ phi1 phi2)) phi2) (fma.f64 #s(literal -1 binary64) phi1 phi2))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (neg.f64 phi1) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi1 phi2))) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.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) (-.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) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)))
(*.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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (/.f64 (*.f64 (-.f64 phi2 phi1) phi1) (*.f64 phi2 phi1))) phi2)) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) phi1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (- 1 (/ phi1 phi2)) (*.f64 (/.f64 (/.f64 (-.f64 phi2 phi1) phi1) phi2) 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 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) lambda2) (* (cos (* 1/2 phi1)) lambda2)) (* phi1 phi1))) (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)))))
(*.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))) #s(approx (* (cos (* 1/2 phi1)) lambda1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi1 phi1) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi1 phi1) lambda1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #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 (+ (* (* (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))))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
Calls

4 calls:

6.0ms
(-.f64 lambda1 lambda2)
6.0ms
lambda2
6.0ms
phi1
6.0ms
lambda1
Results
AccuracySegmentsBranch
57.0%1lambda1
57.0%1(-.f64 lambda1 lambda2)
57.0%1phi1
57.0%1lambda2
Compiler

Compiled 6 to 21 computations (-250% saved)

regimes30.0ms (0.3%)

Memory
-28.2MiB live, 18.6MiB allocated; 1ms 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:

19.0ms
R
1.0ms
phi1
1.0ms
lambda1
1.0ms
(-.f64 lambda1 lambda2)
1.0ms
lambda2
Results
AccuracySegmentsBranch
53.2%2phi2
35.2%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)))
35.2%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))))
35.2%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)))))
41.2%3lambda2
52.5%2phi1
35.2%1R
37.0%2lambda1
42.6%5(-.f64 lambda1 lambda2)
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes10.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB 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

9 calls:

1.0ms
(-.f64 lambda1 lambda2)
1.0ms
phi1
1.0ms
phi2
1.0ms
lambda2
1.0ms
lambda1
Results
AccuracySegmentsBranch
27.4%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)))
27.4%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))))
27.4%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)))))
27.4%1R
27.4%1lambda1
27.4%1(-.f64 lambda1 lambda2)
27.4%1lambda2
27.4%1phi1
27.4%1phi2
Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch27.0ms (0.3%)

Memory
-37.8MiB live, 18.6MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
2.8449086346043706e-44
1.1218278923333735e-42
Samples
8.0ms93×0valid
4.0ms19×1valid
Compiler

Compiled 637 to 372 computations (41.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-hypot: 2.0ms (23.9% of total)
ival-add: 1.0ms (12% of total)
ival-div: 1.0ms (12% of total)
adjust: 1.0ms (12% of total)
ival-sub: 1.0ms (12% of total)
ival-cos: 1.0ms (12% of total)
ival-mult: 1.0ms (12% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
37.1MiB live, 37.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
2.473633129879634e+65
4.603235668727049e+66
Samples
11.0ms55×1valid
5.0ms57×0valid
Compiler

Compiled 784 to 428 computations (45.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
adjust: 2.0ms (16.2% of total)
ival-mult: 2.0ms (16.2% of total)
ival-hypot: 2.0ms (16.2% of total)
ival-cos: 2.0ms (16.2% of total)
ival-add: 1.0ms (8.1% of total)
ival-div: 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)

bsearch55.0ms (0.6%)

Memory
-26.3MiB live, 65.4MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
-1.4685086839822046e-267
-1.7798726229843232e-269
32.0ms
-2076603811311979800.0
-4452891916000102.5
Samples
25.0ms169×0valid
16.0ms71×1valid
Compiler

Compiled 1 835 to 982 computations (46.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (33.9% of total)
ival-cos: 6.0ms (20.3% of total)
ival-hypot: 4.0ms (13.6% of total)
adjust: 3.0ms (10.2% of total)
ival-add: 2.0ms (6.8% of total)
ival-div: 2.0ms (6.8% of total)
ival-sub: 2.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch57.0ms (0.6%)

Memory
5.8MiB live, 52.1MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
9.830801396390937e+70
1.5604665776010168e+73
19.0ms
2.3351391322592945e-232
1.369845326714743e-227
Samples
28.0ms170×0valid
14.0ms70×1valid
Compiler

Compiled 1 695 to 926 computations (45.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 18.0ms (51.5% of total)
ival-hypot: 4.0ms (11.4% of total)
ival-mult: 4.0ms (11.4% of total)
adjust: 3.0ms (8.6% of total)
ival-add: 2.0ms (5.7% of total)
ival-div: 2.0ms (5.7% of total)
ival-sub: 2.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.830801396390937e+70
1.5604665776010168e+73
15.0ms
-1.5219067333993544e-211
-1.3352997602085299e-212
Samples
6.0ms76×0valid
4.0ms20×1valid
Compiler

Compiled 1 455 to 798 computations (45.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-hypot: 2.0ms (26.3% of total)
ival-add: 1.0ms (13.1% of total)
ival-div: 1.0ms (13.1% of total)
adjust: 1.0ms (13.1% of total)
ival-sub: 1.0ms (13.1% of total)
ival-cos: 1.0ms (13.1% of total)
ival-mult: 1.0ms (13.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.830801396390937e+70
1.5604665776010168e+73
10.0ms
-1.5219067333993544e-211
-1.3352997602085299e-212
Samples
5.0ms54×0valid
2.0ms10×1valid
Compiler

Compiled 1 335 to 750 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-hypot: 1.0ms (21.3% of total)
ival-sub: 1.0ms (21.3% of total)
ival-cos: 1.0ms (21.3% of total)
ival-mult: 1.0ms (21.3% of total)
ival-add: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch51.0ms (0.5%)

Memory
-11.7MiB live, 40.2MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.4296460612010244e+74
1.5696836269440868e+77
27.0ms
-8.08950380585328e+198
-1.3626459316907991e+196
Samples
21.0ms74×1valid
15.0ms182×0valid
Compiler

Compiled 1 611 to 910 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-hypot: 5.0ms (22.5% of total)
ival-cos: 4.0ms (18% of total)
ival-mult: 4.0ms (18% of total)
adjust: 3.0ms (13.5% of total)
ival-sub: 3.0ms (13.5% of total)
ival-add: 2.0ms (9% of total)
ival-div: 2.0ms (9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4296460612010244e+74
1.5696836269440868e+77
11.0ms
-8.08950380585328e+198
-1.3626459316907991e+196
Samples
4.0ms21×1valid
4.0ms43×0valid
Compiler

Compiled 1 499 to 886 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 1.0ms (17.2% of total)
adjust: 1.0ms (17.2% of total)
ival-hypot: 1.0ms (17.2% of total)
ival-sub: 1.0ms (17.2% of total)
ival-cos: 1.0ms (17.2% of total)
ival-mult: 1.0ms (17.2% 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)

bsearch18.0ms (0.2%)

Memory
-30.1MiB live, 15.9MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
3.970635925282705e+169
9.5586973780409e+169
Samples
6.0ms26×1valid
5.0ms54×0valid
Compiler

Compiled 485 to 287 computations (40.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-hypot: 2.0ms (26.8% of total)
ival-add: 1.0ms (13.4% of total)
ival-div: 1.0ms (13.4% of total)
adjust: 1.0ms (13.4% of total)
ival-sub: 1.0ms (13.4% of total)
ival-cos: 1.0ms (13.4% of total)
ival-mult: 1.0ms (13.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
1.077514536002025e+164
2.1814081751932162e+165
Samples
8.0ms39×1valid
6.0ms73×0valid
Compiler

Compiled 665 to 393 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
adjust: 2.0ms (18.5% of total)
ival-hypot: 2.0ms (18.5% of total)
ival-cos: 2.0ms (18.5% of total)
ival-mult: 2.0ms (18.5% of total)
ival-add: 1.0ms (9.3% of total)
ival-div: 1.0ms (9.3% of total)
ival-sub: 1.0ms (9.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
-20.3MiB live, 26.0MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
6.958951949527175e+31
5.853766168146519e+38
Samples
17.0ms72×1valid
6.0ms72×0valid
Compiler

Compiled 674 to 382 computations (43.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
adjust: 5.0ms (27.8% of total)
ival-hypot: 3.0ms (16.7% of total)
ival-cos: 3.0ms (16.7% of total)
ival-mult: 3.0ms (16.7% of total)
ival-add: 1.0ms (5.6% of total)
ival-div: 1.0ms (5.6% of total)
ival-sub: 1.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify65.0ms (0.7%)

Memory
10.2MiB live, 56.0MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01521497
12731497
26041497
314611497
434621497
561861497
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 phi2 #s(literal 5523849527140279/12554203470773361527671578846415332832204710888928069025792 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 679999999999999985267852179810931509091158698136555770687896158208 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)) lambda1) phi2)))))
(if (<=.f64 phi1 #s(literal -30000000000000000 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)) lambda1) phi1)))) (if (<=.f64 phi1 #s(literal -3531665157634735/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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)) lambda1) phi2))))))
(if (<=.f64 phi2 #s(literal 4544747936281427/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576 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 100000000000000004188152556421145795899143386664033828314342771180699648 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))))
(if (<=.f64 phi2 #s(literal -3316536452058399/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 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)) lambda1) phi1)))) (if (<=.f64 phi2 #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))))
(if (<=.f64 phi2 #s(literal -8338720222318261/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1)))) (if (<=.f64 phi2 #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))))
(if (<=.f64 lambda1 #s(literal -112000000000000007806498576378610946237663760977001310273853682750221411292102997862806940880036279033736361656924090197351057592568713306302003683691977269968227574394466158604486820112996241506304 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))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) (if (<=.f64 lambda1 #s(literal 154999999999999999259630625570396408609363360116119764235305028876958691229696 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))))
(if (<=.f64 lambda1 #s(literal -79999999999999996091463397113881056427113283689489733595732671124588093789999673466227103113378721824767003590137106053655586026004419944741085887410211631950162932306987400006217892305832689795072 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) (if (<=.f64 lambda1 #s(literal 154999999999999999259630625570396408609363360116119764235305028876958691229696 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))))
(if (<=.f64 lambda2 #s(literal 64999999999999994862944168636881027830800201680106165742299669662975955927751646863059756239133300515992302413548939665283068616218534653203547127104581738485031962148864 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2))))
(if (<=.f64 lambda2 #s(literal 115999999999999999183934029068654195977772045111324880476713132824892476589907793601932558750708985074835296710171285643694728079534167012825961021983788269825949696 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
(if (<=.f64 phi2 #s(literal 62000000000000003515523232727172120576 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 phi2 #s(literal 5523849527140279/12554203470773361527671578846415332832204710888928069025792 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 679999999999999985267852179810931509091158698136555770687896158208 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)) lambda1) phi2)))))
(if (<=.f64 phi1 #s(literal -30000000000000000 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)) lambda1) phi1)))) (if (<=.f64 phi1 #s(literal -3531665157634735/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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)) lambda1) phi2))))))
(if (<=.f64 phi2 #s(literal 4544747936281427/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576 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 100000000000000004188152556421145795899143386664033828314342771180699648 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))))
(if (<=.f64 phi2 #s(literal -3316536452058399/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 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)) lambda1) phi1)))) (if (<=.f64 phi2 #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))))
(if (<=.f64 phi2 #s(literal -8338720222318261/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1)))) (if (<=.f64 phi2 #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) 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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))))
(if (or (<=.f64 phi2 #s(literal -8338720222318261/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (not (<=.f64 phi2 #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 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 phi1)) (- lambda1 lambda2)) (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2)) phi1))))
(if (<=.f64 lambda1 #s(literal -112000000000000007806498576378610946237663760977001310273853682750221411292102997862806940880036279033736361656924090197351057592568713306302003683691977269968227574394466158604486820112996241506304 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))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) (if (<=.f64 lambda1 #s(literal 154999999999999999259630625570396408609363360116119764235305028876958691229696 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))))
(if (<=.f64 lambda1 #s(literal -79999999999999996091463397113881056427113283689489733595732671124588093789999673466227103113378721824767003590137106053655586026004419944741085887410211631950162932306987400006217892305832689795072 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) (if (<=.f64 lambda1 #s(literal 154999999999999999259630625570396408609363360116119764235305028876958691229696 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))))
(if (<=.f64 lambda1 #s(literal -79999999999999996091463397113881056427113283689489733595732671124588093789999673466227103113378721824767003590137106053655586026004419944741085887410211631950162932306987400006217892305832689795072 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R (neg.f64 lambda1)) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) (if (<=.f64 lambda1 #s(literal 154999999999999999259630625570396408609363360116119764235305028876958691229696 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))))
(if (<=.f64 lambda2 #s(literal 64999999999999994862944168636881027830800201680106165742299669662975955927751646863059756239133300515992302413548939665283068616218534653203547127104581738485031962148864 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2))))
(if (<=.f64 lambda2 #s(literal 115999999999999999183934029068654195977772045111324880476713132824892476589907793601932558750708985074835296710171285643694728079534167012825961021983788269825949696 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (- 1 (/ phi1 phi2)) phi2) (-.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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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 (* (- 1 (/ phi1 phi2)) phi2) (-.f64 phi2 phi1))))
(if (<=.f64 phi2 #s(literal 62000000000000003515523232727172120576 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))

derivations840.0ms (8.5%)

Memory
24.6MiB live, 401.8MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144810992
1554110541
083049767
011718918
143848830
081768135
012019334
145768707
083278100
08847896
133797359
084306848
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 497 to 155 computations (89.6% saved)

preprocess210.0ms (2.1%)

Memory
8.0MiB live, 101.9MiB allocated; 76ms collecting garbage
Remove

(sort lambda1 lambda2)

(negabs R)

Compiler

Compiled 3 778 to 608 computations (83.9% saved)

end0.0ms (0%)

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

Profiling

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