Equirectangular approximation to distance on a great circle

Time bar (total: 8.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 34 to 16 computations (52.9% saved)

sample1.4s (15.5%)

Memory
18.9MiB live, 1 216.4MiB allocated
Samples
616.0ms6 546×0valid
426.0ms1 710×1valid
Precisions
Click to see histograms. Total time spent on operations: 739.0ms
ival-hypot: 151.0ms (20.4% of total)
ival-cos: 142.0ms (19.2% of total)
ival-mult: 122.0ms (16.5% of total)
ival-sub: 96.0ms (13% of total)
ival-div: 78.0ms (10.6% of total)
ival-add: 70.0ms (9.5% of total)
adjust: 65.0ms (8.8% of total)
ival-true: 6.0ms (0.8% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain343.0ms (3.9%)

Memory
37.7MiB live, 311.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1830-0-(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))))
74123(-2.5296748656993193e+207 -2.1787355258904202e+300 -1.9849814964655248e-75 -2.3518020481937302e-91 -6.570469289839215e+249)0-(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
00-0-(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
00-0-lambda2
00-0-(+.f64 phi1 phi2)
00-0-phi2
00-0-(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
00-0-(-.f64 lambda1 lambda2)
00-0-(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))
00-0-R
00-0-lambda1
00-0-phi1
00-0-(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))
00-0-(-.f64 phi1 phi2)
00-0-(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))sensitivity1971
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-rescue1830
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))overflow120
(*.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)))))overflow116
(+.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)))overflow183
Confusion
Predicted +Predicted -
+1170
-10732
Precision
0.5223214285714286
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11700
-107032
Precision?
0.5223214285714286
Recall?
1.0
Freqs
test
numberfreq
032
168
2156
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
128.0ms378×1valid
29.0ms134×0valid
Compiler

Compiled 501 to 72 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 37.0ms (33.2% of total)
ival-cos: 25.0ms (22.4% of total)
ival-hypot: 14.0ms (12.6% of total)
adjust: 12.0ms (10.8% of total)
ival-sub: 9.0ms (8.1% of total)
ival-add: 8.0ms (7.2% of total)
ival-div: 6.0ms (5.4% of total)
ival-true: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess377.0ms (4.2%)

Memory
-99.3MiB live, 195.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149667
1357661
2923645
34473645
47906645
01732
02832
14332
28832
330232
4104632
5338432
6732332
0807516
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
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.8%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (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)

simplify174.0ms (2%)

Memory
-15.6MiB live, 145.9MiB allocated
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
143155
288155
3302155
41046155
53384155
67323155
08075122
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
R
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))
(+.f64 phi1 phi2)
phi1
phi2
#s(literal 2 binary64)
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))
(-.f64 phi1 phi2)
Outputs
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 (hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (-.f64 lambda1 lambda2))) R)
R
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (-.f64 lambda1 lambda2)))
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (-.f64 lambda1 lambda2)) (*.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)

localize110.0ms (1.2%)

Memory
14.8MiB live, 91.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1640625
(*.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)))))
accuracy0.16796875
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
accuracy15.452275659048073
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
accuracy42.33654142483275
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
Samples
89.0ms189×1valid
8.0ms67×0valid
Compiler

Compiled 312 to 36 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-cos: 26.0ms (41.8% of total)
ival-mult: 12.0ms (19.3% of total)
ival-hypot: 7.0ms (11.2% of total)
adjust: 6.0ms (9.6% of total)
ival-sub: 4.0ms (6.4% of total)
ival-add: 4.0ms (6.4% of total)
ival-div: 3.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory
11.0MiB live, 50.0MiB allocated
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
20.0ms
lambda1
@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))))
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))))

simplify225.0ms (2.5%)

Memory
-27.8MiB live, 182.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08847928
129747384
279487384
081156877
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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (-.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) lambda1) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2)))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda2 lambda1)) lambda1 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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)))))
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2) (-.f64 phi1 phi2)) R) (*.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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)))) (* 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda1) (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2) (-.f64 phi1 phi2)) R))
(* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda2 lambda1)) lambda1 (*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)))) lambda1)
(* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda2 lambda1)) #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda2 lambda1)) #s(literal -2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 lambda1 lambda1))
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R lambda2) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 R (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1)) lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))) 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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda2 lambda1)) #s(literal -2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 lambda1 lambda1))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 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)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) 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 (-.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (neg.f64 lambda1))) lambda1)) (*.f64 lambda1 lambda1))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R (/.f64 (fma.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R)) lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) (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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))) (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 (-.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda1) (*.f64 (*.f64 #s(literal 2 binary64) lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1)) (*.f64 lambda1 lambda1))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1) (neg.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) lambda2) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda1 lambda2)) lambda2 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 R (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda2) (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda1 lambda2)) lambda2 (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (*.f64 lambda2 lambda2))) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)))) 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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda1 lambda2)) #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda1 lambda2)) #s(literal -2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 lambda1 lambda1) (*.f64 lambda2 lambda2)) (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 lambda2 lambda2))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R lambda1) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 R lambda2) lambda2) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))) 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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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))
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(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
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(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
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(* (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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.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)))
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(+ (* 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)) (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))))) phi1 (*.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)))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64)) (-.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))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi1) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)) (-.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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(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 (fma.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1) phi1) (*.f64 (/.f64 phi2 phi1) (/.f64 phi2 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 #s(literal 1/2 binary64) phi1) (*.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 R phi1)) (-.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 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi2 (pow.f64 phi1 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(cos (* 1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(* (cos (* 1/2 (+ phi1 phi2))) (- lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(* -1 phi1)
(neg.f64 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 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)))))))))))
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(* (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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) phi2)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.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 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) phi2 (*.f64 (neg.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)))) 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)) (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) phi2 (*.f64 (neg.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)))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64)) (-.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))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) (-.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 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi1 (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) phi2))) (-.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 (fma.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) phi2) (*.f64 (/.f64 phi1 phi2) (/.f64 phi1 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 (fma.f64 R (/.f64 (neg.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 R phi2)) (fma.f64 R (/.f64 (neg.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 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (fma.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi1 (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) 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 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #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)) (neg.f64 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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi1 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi1 phi2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) phi2))) phi2)) (neg.f64 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))))
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(* -1 (* R phi2))
(*.f64 (neg.f64 phi2) R)
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(*.f64 (neg.f64 phi2) (fma.f64 R (/.f64 (neg.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 (-.f64 R (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 R phi2)) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2)) (neg.f64 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 (-.f64 R (/.f64 (fma.f64 R phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi1 phi2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (neg.f64 phi2))) phi2)) (neg.f64 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))

rewrite169.0ms (1.9%)

Memory
12.1MiB live, 168.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017128
02886
19786
272386
0895176
Stop Event
iter limit
node limit
iter limit
Counts
6 → 300
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
Outputs
(*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))))))
(*.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (sqrt.f64 (pow.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 -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (pow.f64 (pow.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 -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 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 -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.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 -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))) (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))
(hypot.f64 (exp.f64 (log.f64 (-.f64 phi1 phi2))) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (exp.f64 (log.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) (-.f64 phi1 phi2))
(hypot.f64 (-.f64 phi1 phi2) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))))
(hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2) (-.f64 phi1 phi2))) (fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2) (-.f64 phi1 phi2)))
(*.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (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 -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))))))
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(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1)) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2))))
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (*.f64 lambda1 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (*.f64 lambda2 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (-.f64 lambda1 lambda2) lambda1))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (neg.f64 lambda2))))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 lambda2 lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) (pow.f64 (+.f64 lambda2 lambda1) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (pow.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2)) (pow.f64 (+.f64 lambda2 lambda1) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (pow.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (+.f64 lambda2 lambda1) #s(literal -1 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) #s(literal -1 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2))) (neg.f64 (+.f64 lambda2 lambda1)))
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))))) (neg.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 lambda1 lambda2)))
(/.f64 (-.f64 (*.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))) (-.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1)) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)))) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2))))
(/.f64 (+.f64 (pow.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (*.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2))))))
(/.f64 (neg.f64 (*.f64 (+.f64 lambda2 lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (+.f64 lambda2 lambda1)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (neg.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2))) (neg.f64 (+.f64 lambda2 lambda1)))
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))))) (neg.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (*.f64 (+.f64 lambda2 lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2)) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda1 lambda1 (*.f64 (neg.f64 lambda2) (-.f64 (neg.f64 lambda2) lambda1))))
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))))))
(/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 lambda1 lambda2)))
(fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal -1 binary64)) lambda2 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1))
(fma.f64 #s(literal -1 binary64) (*.f64 lambda2 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1))
(fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)))
(fma.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1))
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)))

eval171.0ms (1.9%)

Memory
8.9MiB live, 83.1MiB allocated
Compiler

Compiled 28 789 to 2 785 computations (90.3% saved)

prune51.0ms (0.6%)

Memory
4.8MiB live, 42.6MiB allocated
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New50227529
Fresh000
Picked101
Done000
Total50327530
Accuracy
96.6%
Counts
530 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R))
40.6%
(*.f64 R (hypot.f64 (-.f64 phi1 phi2) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))))
53.0%
(*.f64 R (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
21.2%
(*.f64 R (sqrt.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
55.1%
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
49.2%
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (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)))))
24.2%
(*.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))))
23.1%
(*.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))))
75.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
65.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
56.6%
(*.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)))
50.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
19.3%
(*.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) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2))))))
34.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1))))))
18.7%
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
23.2%
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)))
16.8%
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1)))
29.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
20.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1))
34.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda2))
57.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
23.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
17.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
11.0%
#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 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
53.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
20.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))))
36.3%
#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 2 272 to 1 256 computations (44.7% saved)

simplify142.0ms (1.6%)

Memory
-9.2MiB live, 72.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 R)
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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1))
cost-diff4
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)
cost-diff7
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
cost-diff0
(*.f64 R lambda2)
cost-diff0
(neg.f64 (*.f64 R lambda2))
cost-diff0
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
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 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
cost-diff0
(-.f64 R (*.f64 R (/.f64 phi2 phi1)))
cost-diff0
(neg.f64 phi1)
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
cost-diff5
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
cost-diff0
(*.f64 R phi2)
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
cost-diff0
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047455
075455
1136455
2318434
31016432
43255420
56614416
08244320
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
(-.f64 lambda1 lambda2)
lambda1
lambda2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R phi2)
R
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
(neg.f64 phi1)
phi1
(-.f64 R (*.f64 R (/.f64 phi2 phi1)))
R
(*.f64 R (/.f64 phi2 phi1))
(/.f64 phi2 phi1)
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 R lambda2))
(*.f64 R lambda2)
R
lambda2
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
(+.f64 phi2 phi1)
phi2
phi1
#s(literal 1/2 binary64)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
(neg.f64 R)
R
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
(+.f64 phi2 phi1)
phi2
phi1
#s(literal 1/2 binary64)
(/.f64 lambda2 lambda1)
lambda2
lambda1
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (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 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (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 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(hypot.f64 (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) 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))
(*.f64 #s(literal 1/2 binary64) phi2)
#s(literal 1/2 binary64)
phi2
(-.f64 lambda1 lambda2)
lambda1
lambda2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi2 R))
(*.f64 R phi2)
(*.f64 phi2 R)
R
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 phi2 phi1) R))
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
(*.f64 (-.f64 phi2 phi1) R)
(neg.f64 phi1)
phi1
(-.f64 R (*.f64 R (/.f64 phi2 phi1)))
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
R
(*.f64 R (/.f64 phi2 phi1))
(*.f64 (/.f64 phi2 phi1) R)
(/.f64 phi2 phi1)
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (neg.f64 lambda2) R)))
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (neg.f64 lambda2) R))
(neg.f64 (*.f64 R lambda2))
(*.f64 (neg.f64 lambda2) R)
(*.f64 R lambda2)
(*.f64 lambda2 R)
R
lambda2
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
(+.f64 phi2 phi1)
phi2
phi1
#s(literal 1/2 binary64)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 R (-.f64 lambda1 lambda2))))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 R (-.f64 lambda1 lambda2)))
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
(*.f64 (fma.f64 (/.f64 lambda2 lambda1) (neg.f64 R) R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(neg.f64 R)
R
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1))
(*.f64 (/.f64 lambda2 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
(+.f64 phi2 phi1)
phi2
phi1
#s(literal 1/2 binary64)
(/.f64 lambda2 lambda1)
lambda2
lambda1
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)

localize394.0ms (4.4%)

Memory
-7.4MiB live, 148.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.9371145565962715
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
accuracy4.656285484513021
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)
accuracy15.452275659048073
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
accuracy49.70994607874079
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1))
accuracy0.0
(neg.f64 (*.f64 R lambda2))
accuracy0.2109375
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
accuracy15.452275659048073
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
accuracy56.08384804972088
#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 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
accuracy0.0
(neg.f64 phi1)
accuracy6.405063473045355
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
accuracy7.334803386377478
(*.f64 R (/.f64 phi2 phi1))
accuracy25.402041048168872
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
accuracy0.0
(*.f64 R phi2)
accuracy40.74436689553628
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
accuracy0.0
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
accuracy0.0546875
(*.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)))
accuracy0.140625
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
accuracy22.082739798473376
#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
155.0ms189×1valid
19.0ms67×0valid
Compiler

Compiled 853 to 87 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-cos: 43.0ms (36.4% of total)
ival-mult: 30.0ms (25.4% of total)
adjust: 10.0ms (8.5% of total)
ival-hypot: 10.0ms (8.5% of total)
ival-div: 9.0ms (7.6% of total)
ival-add: 6.0ms (5.1% of total)
ival-sub: 4.0ms (3.4% of total)
ival-neg: 3.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series91.0ms (1%)

Memory
10.8MiB live, 84.3MiB allocated
Counts
21 → 213
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R phi2)
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
(neg.f64 phi1)
(-.f64 R (*.f64 R (/.f64 phi2 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 R lambda2))
(*.f64 R lambda2)
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1))
(neg.f64 R)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 R (/.f64 phi2 phi1))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R phi2)
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* R (- 1 (/ phi2 phi1)))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* R lambda2))
(* R lambda2)
(* 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)
(/ (* R phi2) phi1)
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* R (+ 1 (* -1 (/ phi2 phi1))))
(* -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 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) 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)))))) (* 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)))))
(* -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 (* 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))))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
(+ (* -1 (* R phi1)) (* R phi2))
(* -1 phi1)
(* -1 (/ (* R phi2) phi1))
(/ (- (* R phi1) (* R phi2)) phi1)
(* -1 (* R (* lambda2 (cos (* 1/2 phi2)))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* 1/2 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2)))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/8 (* R (* lambda2 (* phi1 (cos (* 1/2 phi2)))))) (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2))))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/48 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2)))))) (* 1/8 (* R (* lambda2 (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 (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 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 (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2))))))))))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2)))))
(+ (* lambda1 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))) (* 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 (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2))))))) (* 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))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
R
(+ R (* -1 (/ (* R phi2) phi1)))
(cos (* 1/2 (+ phi1 phi2)))
(* -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 (* R (* lambda2 (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))))
(* 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)
(* -1 (* R (* lambda2 (cos (* 1/2 phi1)))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1)))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/8 (* R (* lambda2 (* phi2 (cos (* 1/2 phi1)))))) (* 1/2 (* R (* lambda2 (sin (* 1/2 phi1))))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/48 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1)))))) (* 1/8 (* R (* lambda2 (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 (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 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 (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1))))))))))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1)))))
(+ (* lambda1 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))) (* 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 (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1))))))) (* lambda1 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))))))
1
(+ 1 (* -1/8 (pow phi2 2)))
(+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8)))
(+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8)))
(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 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(* phi2 (- (/ R phi2) (/ R phi1)))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1)))))
(* -1 (* R (* lambda2 (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))))
Calls

15 calls:

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

simplify207.0ms (2.3%)

Memory
19.7MiB live, 136.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011549110
139128553
083307971
Stop Event
iter limit
node limit
Counts
213 → 210
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R phi2)
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* R (- 1 (/ phi2 phi1)))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* R lambda2))
(* R lambda2)
(* 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)
(/ (* R phi2) phi1)
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* R (+ 1 (* -1 (/ phi2 phi1))))
(* -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 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) 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)))))) (* 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)))))
(* -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 (* 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))))
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
(+ (* -1 (* R phi1)) (* R phi2))
(* -1 phi1)
(* -1 (/ (* R phi2) phi1))
(/ (- (* R phi1) (* R phi2)) phi1)
(* -1 (* R (* lambda2 (cos (* 1/2 phi2)))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* 1/2 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2)))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/8 (* R (* lambda2 (* phi1 (cos (* 1/2 phi2)))))) (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2))))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/48 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2)))))) (* 1/8 (* R (* lambda2 (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 (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 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 (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2))))))))))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2)))))
(+ (* lambda1 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))) (* 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 (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2))))))) (* 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))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
R
(+ R (* -1 (/ (* R phi2) phi1)))
(cos (* 1/2 (+ phi1 phi2)))
(* -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 (* R (* lambda2 (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))))
(* 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)
(* -1 (* R (* lambda2 (cos (* 1/2 phi1)))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1)))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/8 (* R (* lambda2 (* phi2 (cos (* 1/2 phi1)))))) (* 1/2 (* R (* lambda2 (sin (* 1/2 phi1))))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/48 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1)))))) (* 1/8 (* R (* lambda2 (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 (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))))
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 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 (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1))))))))))))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1)))))
(+ (* lambda1 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))) (* 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 (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))))))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1))))))) (* lambda1 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))))))
1
(+ 1 (* -1/8 (pow phi2 2)))
(+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8)))
(+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8)))
(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 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(* phi2 (- (/ R phi2) (/ R phi1)))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1)))))
(* -1 (* R (* lambda2 (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))))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R)
(* R phi2)
(*.f64 phi2 R)
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(* R (- 1 (/ phi2 phi1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R)
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R)
(* -1 (* R lambda2))
(*.f64 (neg.f64 lambda2) R)
(* R lambda2)
(*.f64 lambda2 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)
(neg.f64 R)
(/ (* R phi2) phi1)
(*.f64 R (/.f64 phi2 phi1))
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(* R (+ 1 (* -1 (/ phi2 phi1))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R)
(* -1 (* R (+ (* -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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 R))
(* -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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 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)))))
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R) (*.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))))) (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))))
(+ (* 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 lambda2 R) (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 (*.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))))))) lambda1) (*.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 lambda2 R) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(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 (*.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))))))) lambda1) (*.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 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))))) lambda1) (*.f64 (-.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 lambda2))
(* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))
(/.f64 (*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R) lambda1)
(/ (+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)
(/.f64 (fma.f64 (*.f64 (neg.f64 lambda2) 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))))) lambda1)
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(fma.f64 (*.f64 (neg.f64 lambda2) 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)))))
(* 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 (neg.f64 R) (*.f64 lambda2 (/.f64 (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 (neg.f64 R) (*.f64 lambda2 (/.f64 (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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (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 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)
(* 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)
(* -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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) 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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (-.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.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))))))) 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 (-.f64 (*.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)))))) lambda1)) lambda1)))
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* 1/2 phi2))))) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)) lambda1)))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* 1/2 phi2))))) lambda1)) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda1)) lambda1)))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(*.f64 (neg.f64 lambda1) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))
(*.f64 (*.f64 (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 R)) lambda1)
(* 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)))))
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R) (*.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))))) (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))))
(+ (* 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 lambda2 R) (-.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 (*.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))))))) lambda1) (*.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))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.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))))))) lambda1) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) lambda2) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* 1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi2)) 2) (- (pow (cos (* 1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)) 3))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2) (-.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)))))) lambda1) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (*.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 (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2)
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 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)))))) (*.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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (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 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)
(* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* 1/2 phi2))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* 1/2 phi2)))))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 lambda2 lambda2)))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)
(* lambda2 (+ (* -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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) 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 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda2) (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
(* -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) (-.f64 (*.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))))) 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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (-.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.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))))))) lambda2)) 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)))
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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)))))))))))
(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) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (+.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1/6 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 #s(literal -2 binary64) phi2)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) #s(literal -1/2 binary64))) phi1)))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.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)))))) phi1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(+ (* -1 (* R phi1)) (* R phi2))
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))
(* -1 phi1)
(neg.f64 phi1)
(* -1 (/ (* R phi2) phi1))
(*.f64 (neg.f64 R) (/.f64 phi2 phi1))
(/ (- (* R phi1) (* R phi2)) phi1)
(/.f64 (*.f64 R (-.f64 phi1 phi2)) phi1)
(* -1 (* R (* lambda2 (cos (* 1/2 phi2)))))
(*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* 1/2 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/8 (* R (* lambda2 (* phi1 (cos (* 1/2 phi2)))))) (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) R) (*.f64 (*.f64 lambda2 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1/2 binary64))) phi1 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/48 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2)))))) (* 1/8 (* R (* lambda2 (cos (* 1/2 phi2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1/8 binary64))) phi1)) phi1 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1))
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))))
(fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (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 (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 (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))))))
(fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) (fma.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (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 (/.f64 (*.f64 (*.f64 lambda2 R) (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)) R)))
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2))))))))))))))
(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 -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (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 (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/8 binary64)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (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)) R)))
(* 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 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) lambda1)
(+ (* lambda1 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))))
(*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (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 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) 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 (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))))))
(fma.f64 (*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (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 lambda2 R) (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 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) lambda1))
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2))))))) (* 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 lambda2 R) (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 lambda2 R) (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 lambda2 R) (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 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64))) phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(* R phi1)
(*.f64 phi1 R)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R (*.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))) 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 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R (*.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))))))) phi1)
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)))))))
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(* -1 (* R phi1))
(*.f64 (neg.f64 R) phi1)
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
(*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)
R
(+ R (* -1 (/ (* R phi2) phi1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R)
(cos (* 1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R) (neg.f64 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)))))
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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 (* R (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1)))))))
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(cos (* 1/2 (- phi2 (* -1 phi1))))
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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)
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(- (+ 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)
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(- (+ 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)
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(* -1 (* R (* lambda2 (cos (* 1/2 phi1)))))
(*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1)))))))
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(+ (* -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 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1))
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(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1)))))
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(+ (* lambda1 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))))
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(+ (* 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 (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))))))
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(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1))))))) (* lambda1 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow phi2 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2) #s(literal 1 binary64))
(+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 phi2 phi2) #s(literal -1/8 binary64)) (*.f64 phi2 phi2) #s(literal 1 binary64))
(+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi2 phi2) #s(literal 1/384 binary64)) (*.f64 phi2 phi2) #s(literal -1/8 binary64)) (*.f64 phi2 phi2) #s(literal 1 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) phi2)
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(*.f64 (+.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 R) 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
(* 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)))))))
(fma.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)) 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))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) phi2 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)))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) phi2 phi2)
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(* phi2 (- (/ R phi2) (/ R phi1)))
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)
(* -1 (* R phi2))
(*.f64 (neg.f64 phi2) R)
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (*.f64 phi1 R) phi2)))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(*.f64 (-.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)) (neg.f64 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 (-.f64 R (/.f64 (fma.f64 phi1 R (neg.f64 (/.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)))))) phi2))) phi2)) (neg.f64 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 (-.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)) (neg.f64 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 (-.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)) (neg.f64 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)))))))
(neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) phi2 phi2))
(* -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))))))))
(neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) phi2 phi2))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) (neg.f64 phi2))
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1)))))
(*.f64 (fma.f64 (/.f64 R phi2) #s(literal -1 binary64) (/.f64 R phi1)) (neg.f64 phi2))
(* -1 (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))))
(*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R)
(+ (* -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)))

rewrite254.0ms (2.9%)

Memory
-39.4MiB live, 207.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047382
075316
1251316
21799316
09005286
Stop Event
iter limit
node limit
iter limit
Counts
21 → 278
Calls
Call 1
Inputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R phi2)
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
(neg.f64 phi1)
(-.f64 R (*.f64 R (/.f64 phi2 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 R lambda2))
(*.f64 R lambda2)
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1))
(neg.f64 R)
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 R (/.f64 phi2 phi1))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
Outputs
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)) R)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2))
(*.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.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 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.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))) #s(literal -1 binary64))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi2 R))
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(/.f64 (neg.f64 (*.f64 (neg.f64 phi1) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)))
(/.f64 (neg.f64 (*.f64 (neg.f64 phi1) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))))
(/.f64 (*.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (neg.f64 phi1)) (fma.f64 (/.f64 phi2 phi1) R R))
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(/.f64 (*.f64 (neg.f64 phi1) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (fma.f64 (/.f64 phi2 phi1) R R))
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(neg.f64 (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) phi1))
(fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi1) (*.f64 (neg.f64 R) (/.f64 phi2 phi1))))
(fma.f64 R (neg.f64 phi1) (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) (neg.f64 phi1)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) phi1))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) (neg.f64 phi1)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1)) (*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) #s(literal 3 binary64)) (pow.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) #s(literal 3 binary64))) (fma.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (-.f64 (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))) (*.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))))))
(/.f64 (+.f64 (pow.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) #s(literal 3 binary64)) (pow.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) #s(literal 3 binary64))) (fma.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (-.f64 (*.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)))) (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1)) (neg.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) lambda1)) (neg.f64 (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 lambda1 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 lambda1 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) lambda1) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64))))
(/.f64 (*.f64 lambda1 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)))) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))
(/.f64 (*.f64 lambda1 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1))
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1))
(fma.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)))
(fma.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1))
(+.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1))
(+.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)))
(+.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda1))
(*.f64 #s(literal -1 binary64) R)
(*.f64 R #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 R) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 R R) (*.f64 #s(literal 0 binary64) (neg.f64 R)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 R R))) (neg.f64 (+.f64 #s(literal 0 binary64) R)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 R #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 R R (*.f64 #s(literal 0 binary64) R)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 R R)) (+.f64 #s(literal 0 binary64) R))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 R #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 R R (*.f64 #s(literal 0 binary64) R))))
(neg.f64 R)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) R)) (/.f64 (*.f64 R R) (+.f64 #s(literal 0 binary64) R)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 R R (*.f64 #s(literal 0 binary64) R)))) (/.f64 (pow.f64 R #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 R R (*.f64 #s(literal 0 binary64) R)))))
(-.f64 #s(literal 0 binary64) R)
(+.f64 #s(literal 0 binary64) (neg.f64 R))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(*.f64 (/.f64 R #s(literal -1 binary64)) (/.f64 (neg.f64 phi2) phi1))
(*.f64 (/.f64 R phi1) (/.f64 #s(literal 1 binary64) (pow.f64 phi2 #s(literal -1 binary64))))
(*.f64 (/.f64 R phi1) (/.f64 (neg.f64 phi2) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 phi2) #s(literal -1 binary64)) (/.f64 R phi1))
(*.f64 (/.f64 (neg.f64 phi2) phi1) (/.f64 R #s(literal -1 binary64)))
(*.f64 (pow.f64 phi1 #s(literal -1 binary64)) (/.f64 R (pow.f64 phi2 #s(literal -1 binary64))))
(*.f64 (/.f64 phi2 phi1) R)
(*.f64 (*.f64 phi2 R) (pow.f64 phi1 #s(literal -1 binary64)))
(*.f64 phi2 (/.f64 R phi1))
(*.f64 phi2 (*.f64 (pow.f64 phi1 #s(literal -1 binary64)) R))
(*.f64 R (/.f64 phi2 phi1))
(pow.f64 (/.f64 phi1 (*.f64 phi2 R)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) R)) (neg.f64 (/.f64 phi1 phi2)))
(/.f64 (neg.f64 (*.f64 (neg.f64 phi2) R)) (neg.f64 (neg.f64 phi1)))
(/.f64 (neg.f64 (*.f64 R #s(literal 1 binary64))) (neg.f64 (/.f64 phi1 phi2)))
(/.f64 (neg.f64 (*.f64 R (neg.f64 phi2))) (neg.f64 (neg.f64 phi1)))
(/.f64 (neg.f64 (neg.f64 (*.f64 phi2 R))) (neg.f64 (neg.f64 phi1)))
(/.f64 (*.f64 #s(literal 1 binary64) R) (/.f64 phi1 phi2))
(/.f64 (*.f64 (neg.f64 phi2) R) (neg.f64 phi1))
(/.f64 (*.f64 R #s(literal 1 binary64)) (/.f64 phi1 phi2))
(/.f64 (*.f64 R (neg.f64 phi2)) (neg.f64 phi1))
(/.f64 (neg.f64 (*.f64 phi2 R)) (neg.f64 phi1))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 phi1 (*.f64 phi2 R))))
(/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))
(/.f64 (neg.f64 R) (neg.f64 (/.f64 phi1 phi2)))
(/.f64 (*.f64 phi2 R) phi1)
(/.f64 R (/.f64 phi1 phi2))
(-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(-.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 phi1 #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (*.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))))
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))

eval78.0ms (0.9%)

Memory
45.1MiB live, 115.8MiB allocated
Compiler

Compiled 35 048 to 2 610 computations (92.6% saved)

prune86.0ms (1%)

Memory
-12.7MiB live, 108.3MiB allocated
Pruning

44 alts after pruning (42 fresh and 2 done)

PrunedKeptTotal
New48026506
Fresh61622
Picked325
Done000
Total48944533
Accuracy
98.4%
Counts
533 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R))
40.6%
(*.f64 R (hypot.f64 (-.f64 phi1 phi2) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))))
53.0%
(*.f64 R (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
55.1%
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
24.2%
(*.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))))
23.1%
(*.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))))
59.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) phi2)))
75.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
65.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
68.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))
24.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)))
19.3%
(*.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) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2))))))
11.0%
(*.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))))))
18.7%
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
23.2%
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)))
16.8%
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1)))
29.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
48.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
58.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))
37.2%
(*.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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))))
20.2%
(*.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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (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)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
12.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
13.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) R)) lambda1))
34.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda2))
57.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
6.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) lambda1))
11.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) lambda2))
17.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
12.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
9.2%
#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 lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
13.0%
#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 lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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))))))
8.5%
#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 lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
6.7%
#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 lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
57.9%
#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 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))))))
58.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
48.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
57.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
20.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))))
36.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
58.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
53.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
49.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
Compiler

Compiled 4 377 to 2 327 computations (46.8% saved)

simplify99.0ms (1.1%)

Memory
-21.7MiB live, 54.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 lambda2)
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 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))))
cost-diff5
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))
cost-diff7
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
cost-diff0
(neg.f64 lambda2)
cost-diff0
(*.f64 (neg.f64 lambda2) (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 lambda2) (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 lambda2) (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 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
cost-diff1
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
cost-diff4
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
cost-diff11
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
cost-diff0
(neg.f64 phi1)
cost-diff0
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
cost-diff0
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
cost-diff0
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))
cost-diff0
(hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056613
089587
1179581
2432554
31719530
46296520
08128392
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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 lambda1 lambda2)
lambda1
lambda2
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
(neg.f64 phi1)
phi1
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
(fma.f64 (/.f64 phi2 phi1) R R)
(/.f64 phi2 phi1)
phi2
R
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
(*.f64 (/.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 lambda2) (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 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 lambda2)
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
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))
(neg.f64 lambda2)
lambda2
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
(neg.f64 R)
R
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
(+.f64 phi2 phi1)
phi2
phi1
#s(literal 1/2 binary64)
(/.f64 lambda1 lambda2)
lambda1
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) 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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) phi2))
(hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) phi2)
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 lambda1 lambda2)
lambda1
lambda2
phi2
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(neg.f64 phi1)
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (/.f64 phi2 phi1) phi1 (neg.f64 phi1)) R))
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
(*.f64 (fma.f64 (/.f64 phi2 phi1) phi1 (neg.f64 phi1)) R)
(neg.f64 phi1)
phi1
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
R
(fma.f64 (/.f64 phi2 phi1) R R)
(/.f64 phi2 phi1)
phi2
R
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
(*.f64 (/.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 lambda2) (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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2))) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2))
(neg.f64 lambda2)
lambda2
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 phi2 phi1)
phi2
phi1
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))
(*.f64 R (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)))
(neg.f64 lambda2)
lambda2
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
(*.f64 (fma.f64 (/.f64 lambda1 lambda2) (neg.f64 R) R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(neg.f64 R)
R
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2))
(*.f64 (/.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))
(+.f64 phi2 phi1)
phi2
phi1
#s(literal 1/2 binary64)
(/.f64 lambda1 lambda2)
lambda1
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)

localize264.0ms (3%)

Memory
6.0MiB live, 247.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.443525806965776
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
accuracy2.7151892831629367
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))
accuracy15.452275659048073
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
accuracy49.70994607874079
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))))
accuracy0.0546875
(*.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))))))
accuracy0.21484375
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
accuracy15.452275659048073
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
accuracy58.373350976028775
#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)))))
accuracy6.405063473045355
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
accuracy7.334803386377478
(*.f64 (/.f64 phi2 phi1) R)
accuracy17.04894916681004
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
accuracy25.402041048168872
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
accuracy0.0
(neg.f64 phi1)
accuracy0.0546875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
accuracy48.46547726546921
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
accuracy0.0546875
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))
accuracy0.140625
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))
accuracy22.082739798473376
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))
accuracy32.63082366353821
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))
Samples
177.0ms190×1valid
24.0ms66×0valid
Compiler

Compiled 1 137 to 103 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-cos: 38.0ms (29.5% of total)
ival-mult: 37.0ms (28.7% of total)
adjust: 13.0ms (10.1% of total)
ival-div: 13.0ms (10.1% of total)
ival-hypot: 10.0ms (7.8% of total)
ival-add: 9.0ms (7% of total)
ival-sub: 4.0ms (3.1% of total)
ival-neg: 3.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series95.0ms (1.1%)

Memory
27.3MiB live, 101.5MiB allocated
Counts
22 → 216
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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (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 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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 lambda2) (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 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 lambda2)
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))))
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))
(*.f64 (/.f64 phi2 phi1) R)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
R
(- 1 (/ phi2 phi1))
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
(/ (* R phi2) phi1)
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1))))
(+ 1 (* -1 (/ phi2 phi1)))
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1)))
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* 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 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))))
(* R (cos (* 1/2 (+ phi1 phi2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))
(* -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)))))))))
(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* 1/2 phi2))))) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* 1/2 phi2))))) lambda1)) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* -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))))))))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 lambda2)
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)
(* 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))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))
(* -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 (/ (* 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)))))
(* 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)
(* -1 (/ phi2 phi1))
(/ (+ phi1 (* -1 phi2)) phi1)
(* R phi2)
(+ (* -1 (* R phi1)) (* R phi2))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* 1/2 (* lambda2 (* phi1 (sin (* 1/2 phi2))))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* phi1 (+ (* 1/8 (* lambda2 (* phi1 (cos (* 1/2 phi2))))) (* 1/2 (* lambda2 (sin (* 1/2 phi2)))))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi2)))) (* phi1 (+ (* -1/48 (* lambda2 (* phi1 (sin (* 1/2 phi2))))) (* 1/8 (* lambda2 (cos (* 1/2 phi2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2))))))))))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) 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))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
1
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
(cos (* 1/2 (+ phi1 phi2)))
(* -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 (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1))))))))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* 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)
(+ (* -1 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R))))
(* -1 (* lambda2 (cos (* 1/2 phi1))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* 1/2 (* lambda2 (* phi2 (sin (* 1/2 phi1))))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* phi2 (+ (* 1/8 (* lambda2 (* phi2 (cos (* 1/2 phi1))))) (* 1/2 (* lambda2 (sin (* 1/2 phi1)))))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* phi2 (+ (* -1/48 (* lambda2 (* phi2 (sin (* 1/2 phi1))))) (* 1/8 (* lambda2 (cos (* 1/2 phi1)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1))))))))))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))))
(+ 1 (* -1/8 (pow phi2 2)))
(+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8)))
(+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8)))
(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 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(* phi2 (- (/ 1 phi2) (/ 1 phi1)))
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))))
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3))))))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2))))
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2)))))
(* -1 (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))))
(cos (* 1/2 (- phi1 (* -1 phi2))))
Calls

15 calls:

TimeVariablePointExpression
25.0ms
R
@-inf
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (sqrt (+ (* (* (- 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))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2)))
7.0ms
phi1
@0
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (sqrt (+ (* (* (- 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))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2)))
7.0ms
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 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) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (sqrt (+ (* (* (- 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))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2)))
6.0ms
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) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (sqrt (+ (* (* (- 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))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2)))
6.0ms
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) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (sqrt (+ (* (* (- 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))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (neg lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2)))

simplify193.0ms (2.2%)

Memory
0.6MiB live, 152.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012359473
142209178
082068578
Stop Event
iter limit
node limit
Counts
216 → 213
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
R
(- 1 (/ phi2 phi1))
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
(/ (* R phi2) phi1)
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1))))
(+ 1 (* -1 (/ phi2 phi1)))
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1)))
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* 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 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))))
(* R (cos (* 1/2 (+ phi1 phi2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))
(* -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)))))))))
(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* 1/2 phi2))))) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* 1/2 phi2))))) lambda1)) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* -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))))))))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(* -1 lambda2)
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)
(* 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))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))
(* -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 (/ (* 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)))))
(* 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)
(* -1 (/ phi2 phi1))
(/ (+ phi1 (* -1 phi2)) phi1)
(* R phi2)
(+ (* -1 (* R phi1)) (* R phi2))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* 1/2 (* lambda2 (* phi1 (sin (* 1/2 phi2))))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* phi1 (+ (* 1/8 (* lambda2 (* phi1 (cos (* 1/2 phi2))))) (* 1/2 (* lambda2 (sin (* 1/2 phi2)))))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi2)))) (* phi1 (+ (* -1/48 (* lambda2 (* phi1 (sin (* 1/2 phi2))))) (* 1/8 (* lambda2 (cos (* 1/2 phi2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2))))))))))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) 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))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
1
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
(cos (* 1/2 (+ phi1 phi2)))
(* -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 (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1))))))))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* 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)
(+ (* -1 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R))))
(* -1 (* lambda2 (cos (* 1/2 phi1))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* 1/2 (* lambda2 (* phi2 (sin (* 1/2 phi1))))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* phi2 (+ (* 1/8 (* lambda2 (* phi2 (cos (* 1/2 phi1))))) (* 1/2 (* lambda2 (sin (* 1/2 phi1)))))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* phi2 (+ (* -1/48 (* lambda2 (* phi2 (sin (* 1/2 phi1))))) (* 1/8 (* lambda2 (cos (* 1/2 phi1)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1))))))))))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))))
(+ 1 (* -1/8 (pow phi2 2)))
(+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8)))
(+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8)))
(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 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(* phi2 (- (/ 1 phi2) (/ 1 phi1)))
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))))
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3))))))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2))))
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2)))))
(* -1 (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))))
(cos (* 1/2 (- phi1 (* -1 phi2))))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R)
R
(- 1 (/ phi2 phi1))
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(*.f64 (neg.f64 R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1))
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (-.f64 (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))) lambda2))) R)
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
(*.f64 (neg.f64 R) (*.f64 (-.f64 (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))) lambda2))) lambda2))
(/ (* R phi2) phi1)
(*.f64 R (/.f64 phi2 phi1))
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) R)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
(+ 1 (* -1 (/ phi2 phi1)))
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1)))
(/.f64 (*.f64 (*.f64 phi1 R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)))) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (neg.f64 R) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(* R (* lambda2 (+ (* -1 (cos (* 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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 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)))))
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R) (*.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))))) (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))))
(+ (* 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 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 (fma.f64 (*.f64 (*.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) (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))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 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 (-.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)))) (*.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))))))) 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 lambda2))
(* R (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))
(-.f64 (*.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)))) lambda2))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(neg.f64 (*.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 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 (*.f64 (*.f64 R lambda2) (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 (*.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)))) 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 (-.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 (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)))) 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 (-.f64 (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))) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) 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 (-.f64 (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))) lambda1))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (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 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 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)
(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))
(/.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) lambda2)
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)))
(*.f64 (fma.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (/.f64 (*.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda1)
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(neg.f64 (*.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 (*.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)))) 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) (-.f64 (*.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))))) 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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (-.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 R lambda2) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) 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) (-.f64 (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))) 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)))))
(*.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 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) lambda1)) lambda1)))
(* -1 (* lambda1 (cos (* 1/2 phi2))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)) lambda1)))
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* 1/2 phi2))))) lambda1)) (* lambda2 (cos (* 1/2 phi2)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 lambda1) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda1)) lambda1)))
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1))))
(*.f64 (neg.f64 lambda1) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (neg.f64 lambda1) (fma.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (/.f64 (*.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1)))
(* -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)))
(* 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)))))
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R) (*.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))))) (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))))
(+ (* 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 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 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))
(+ (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 (-.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)))) (*.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))))))) 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))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(* -1 lambda2)
(neg.f64 lambda2)
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)
(/.f64 (fma.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 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 (-.f64 (*.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)))) 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 (-.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)))) (*.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)))) 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 (-.f64 (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))) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) 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 (-.f64 (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))) lambda2))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (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 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 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* 1/2 phi2))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)
(* lambda2 (+ (cos (* 1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* 1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* 1/2 phi2)))))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)
(* lambda2 (+ (* -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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2)
(* lambda2 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))
(*.f64 (fma.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2)
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda2) (-.f64 (*.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)))) 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) (-.f64 (*.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))))) 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)))))))
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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))
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(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2)))))
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(* -1 phi1)
(neg.f64 phi1)
(* -1 (/ phi2 phi1))
(/.f64 (neg.f64 phi2) phi1)
(/ (+ phi1 (* -1 phi2)) phi1)
(/.f64 (-.f64 phi1 phi2) phi1)
(* R phi2)
(*.f64 phi2 R)
(+ (* -1 (* R phi1)) (* R phi2))
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* 1/2 (* lambda2 (* phi1 (sin (* 1/2 phi2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) phi1) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+ (* -1 (* 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 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi2)))) (* phi1 (+ (* -1/48 (* lambda2 (* phi1 (sin (* 1/2 phi2))))) (* 1/8 (* lambda2 (cos (* 1/2 phi2)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) phi1) (*.f64 (*.f64 #s(literal 1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R)) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))
(-.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R)) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2))))))))))))))
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R)) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))
(*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))))
(neg.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1) lambda2 (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)) lambda2)))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 lambda2 phi1) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2))) phi1 (*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 lambda2 phi1) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2))) phi1 (*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) phi1 (*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))))
(cos (* 1/2 phi2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(* R phi1)
(*.f64 phi1 R)
(* 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 (+.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 (*.f64 (neg.f64 R) phi2) phi1)) R) phi1)
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 R (*.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (/.f64 (*.f64 (neg.f64 R) phi2) phi1)) R) phi1)
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))))))
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(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
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(* -1 (* lambda2 (cos (* 1/2 phi1))))
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(fma.f64 (neg.f64 (fma.f64 (*.f64 lambda2 phi2) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) phi2 (*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 lambda2 phi2) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) phi2 (*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) phi2 (*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2))))
(+ 1 (* -1/8 (pow phi2 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2) #s(literal 1 binary64))
(+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 phi2 phi2) #s(literal -1/8 binary64)) (*.f64 phi2 phi2) #s(literal 1 binary64))
(+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi2 phi2) #s(literal 1/384 binary64)) (*.f64 phi2 phi2) #s(literal -1/8 binary64)) (*.f64 phi2 phi2) #s(literal 1 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)))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) phi2)
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(*.f64 (+.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 R) 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 #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))))) (/.f64 (*.f64 (neg.f64 R) phi1) phi2)) R) phi2)
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(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)))))))
(fma.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)) 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))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) phi2 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)))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) phi2 phi2)
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(* phi2 (- (/ 1 phi2) (/ 1 phi1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi2) (/.f64 #s(literal 1 binary64) phi1)) phi2)
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))
(*.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))))
(*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3))))))
(*.f64 (+.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (fma.f64 phi1 (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (pow.f64 phi2 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)))) phi2)
(* -1 (* R phi2))
(*.f64 (neg.f64 R) phi2)
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (*.f64 phi1 R) phi2)))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 phi1 R)) phi2)))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (-.f64 (*.f64 phi1 R) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 phi1 R) (*.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)) 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 (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))))) 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)))))))
(neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) phi2 phi2))
(* -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))))))))
(neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) phi2 phi2))
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2))))
(*.f64 (neg.f64 phi2) (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)))
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2)))))
(*.f64 (neg.f64 phi2) (fma.f64 #s(literal -1 binary64) (+.f64 R (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) phi2)) (/.f64 (*.f64 phi1 R) phi2)))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R)) #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 R) (*.f64 phi1 phi1) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R)) phi1)) phi2)) phi2)) R))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2)))))
(*.f64 (neg.f64 phi2) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 R) (*.f64 phi1 phi1) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R)) phi1)) phi1) phi2) (fma.f64 (neg.f64 R) (*.f64 phi1 phi1) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R)) phi1))) phi2)) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R))) phi2)) R))
(* -1 (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2))))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))
(-.f64 (*.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)))) lambda2))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))))
(*.f64 (neg.f64 lambda2) (-.f64 (*.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)))) lambda2)))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))

rewrite202.0ms (2.3%)

Memory
9.3MiB live, 127.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056502
089412
1334380
22565380
08582340
Stop Event
iter limit
node limit
iter limit
Counts
22 → 245
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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))
(hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (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 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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 lambda2) (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 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))
(neg.f64 lambda2)
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))))
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))
(*.f64 (/.f64 phi2 phi1) R)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))
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) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) 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) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) phi2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) phi2))
(*.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #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) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #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) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 phi2 phi2) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #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) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 phi2 phi2))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #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) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 phi2 #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 6 binary64))))))
(sqrt.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(hypot.f64 (exp.f64 (log.f64 phi2)) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))))
(hypot.f64 (exp.f64 (log.f64 phi2)) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))) (exp.f64 (log.f64 phi2)))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))) (neg.f64 phi2))
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))) phi2)
(hypot.f64 (neg.f64 phi2) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))))
(hypot.f64 (neg.f64 phi2) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) (exp.f64 (log.f64 phi2)))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) (neg.f64 phi2))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) phi2)
(hypot.f64 phi2 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))))
(hypot.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)) (pow.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)))
(*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))
(pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(/.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(fma.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) lambda1 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (neg.f64 lambda2)))
(fma.f64 lambda1 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (*.f64 (neg.f64 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 lambda1 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) (*.f64 (neg.f64 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) lambda1) (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (neg.f64 lambda2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) R)
(*.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))
(*.f64 #s(literal -1 binary64) phi1)
(*.f64 phi1 #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 phi1 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 phi1 phi1 (*.f64 #s(literal 0 binary64) phi1))))
(neg.f64 phi1)
(-.f64 #s(literal 0 binary64) phi1)
(+.f64 #s(literal 0 binary64) (neg.f64 phi1))
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R R))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R)) #s(literal -1 binary64)))
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(fma.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal -1 binary64)) lambda2 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)))
(fma.f64 (*.f64 (neg.f64 lambda2) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (/.f64 lambda1 lambda2) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (neg.f64 lambda2) (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 R) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (neg.f64 lambda2) (neg.f64 R)) (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) #s(literal -1 binary64)) lambda2 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (/.f64 lambda1 lambda2) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 lambda2 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 lambda2 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)))
(fma.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (neg.f64 lambda2) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)))
(fma.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (neg.f64 R) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 (neg.f64 R) (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) R (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)))
(fma.f64 (neg.f64 lambda2) (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
(fma.f64 (neg.f64 lambda2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)))
(fma.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 R (neg.f64 lambda2)) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)))
(fma.f64 R (*.f64 (neg.f64 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2))
(+.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (neg.f64 lambda2)))
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))
(*.f64 (*.f64 phi2 R) (pow.f64 phi1 #s(literal -1 binary64)))
(*.f64 (/.f64 phi2 phi1) R)
(*.f64 phi2 (/.f64 R phi1))
(*.f64 phi2 (*.f64 (pow.f64 phi1 #s(literal -1 binary64)) R))
(*.f64 R (/.f64 phi2 phi1))
(pow.f64 (/.f64 phi1 (*.f64 phi2 R)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 phi2) R) (neg.f64 phi1))
(/.f64 (*.f64 #s(literal 1 binary64) R) (/.f64 phi1 phi2))
(/.f64 (*.f64 R (neg.f64 phi2)) (neg.f64 phi1))
(/.f64 (*.f64 R #s(literal 1 binary64)) (/.f64 phi1 phi2))
(/.f64 (neg.f64 (*.f64 phi2 R)) (neg.f64 phi1))
(/.f64 (*.f64 phi2 R) phi1)
(/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))
(/.f64 R (/.f64 phi1 phi2))
(-.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 (*.f64 #s(literal 1/2 binary64) phi1))))
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
(-.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 (*.f64 #s(literal 1/2 binary64) phi1))))
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))

eval113.0ms (1.3%)

Memory
-7.5MiB live, 117.9MiB allocated
Compiler

Compiled 33 187 to 2 476 computations (92.5% saved)

prune84.0ms (0.9%)

Memory
-2.4MiB live, 74.7MiB allocated
Pruning

52 alts after pruning (48 fresh and 4 done)

PrunedKeptTotal
New44615461
Fresh43337
Picked325
Done022
Total45352505
Accuracy
98.4%
Counts
505 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R))
40.6%
(*.f64 R (hypot.f64 (-.f64 phi1 phi2) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))))
53.0%
(*.f64 R (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
55.1%
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
24.2%
(*.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))))
23.1%
(*.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))))
59.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) phi2)))
75.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
65.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
68.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))
24.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)))
12.3%
(*.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) (-.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)))))))
19.3%
(*.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) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2))))))
8.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
6.7%
(*.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) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
18.7%
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
23.2%
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)))
16.8%
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1)))
29.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
48.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
46.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
58.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))
37.2%
(*.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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))))
20.2%
(*.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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (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)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
12.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
13.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))))
45.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
44.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) R)) lambda1))
34.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda2))
57.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
6.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) lambda1))
17.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
9.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
13.0%
#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 lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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))))))
57.9%
#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 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))))))
58.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
46.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R))))
47.3%
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R))))
48.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
44.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
46.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
57.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
16.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))))
11.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))))
36.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
58.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
53.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
49.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
33.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)))
18.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (*.f64 (*.f64 R lambda2) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))))
Compiler

Compiled 5 449 to 2 860 computations (47.5% saved)

simplify104.0ms (1.2%)

Memory
4.6MiB live, 83.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff2
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)))
cost-diff3
(*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))
cost-diff4
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
cost-diff9
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))
cost-diff0
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
cost-diff0
(neg.f64 lambda2)
cost-diff0
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
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 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))))
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
cost-diff1
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R)))
cost-diff4
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)
cost-diff11
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
cost-diff0
(neg.f64 R)
cost-diff0
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))
cost-diff0
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
cost-diff2
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))
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
073742
0109689
1211675
2514557
31925536
47228534
08287438
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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))
(neg.f64 R)
R
phi1
(*.f64 phi2 R)
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R)))
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1))
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
(fma.f64 (/.f64 phi2 phi1) R R)
(/.f64 phi2 phi1)
phi2
phi1
R
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))
#s(literal 1 binary64)
(neg.f64 phi1)
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
(*.f64 (/.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 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))))
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
(neg.f64 lambda2)
lambda2
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)
(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
#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 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
(*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
(neg.f64 phi1)
phi1
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))
(log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)))
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))
(/.f64 phi2 phi1)
phi2
#s(literal 1 binary64)
(fma.f64 (/.f64 phi2 phi1) R R)
R
#s(literal -1 binary64)
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
(*.f64 (/.f64 phi2 phi1) R)
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1)) R)
R
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) 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))
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (-.f64 phi2 phi1) R)))
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (-.f64 phi2 phi1) R))
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))
(*.f64 (-.f64 phi2 phi1) R)
(neg.f64 R)
R
phi1
(*.f64 phi2 R)
phi2
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (*.f64 phi1 R)))
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)
(*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (*.f64 phi1 R))
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R)))
(*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R)) R) phi1)
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1))
(*.f64 (neg.f64 phi1) R)
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
R
(fma.f64 (/.f64 phi2 phi1) R R)
(/.f64 phi2 phi1)
phi2
phi1
R
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))
#s(literal 1 binary64)
(neg.f64 phi1)
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)
(*.f64 (/.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 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.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 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) (neg.f64 lambda2)))
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
(*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) (neg.f64 lambda2))
(neg.f64 lambda2)
lambda2
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)
(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
R
#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 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (*.f64 phi1 R)))
(*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
(*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (*.f64 phi1 R))
(neg.f64 phi1)
phi1
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)))
R
(*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))
(log.f64 R)
(log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)))
(neg.f64 (log.f64 R))
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 #s(literal 1 binary64) R)
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))
(/.f64 phi2 phi1)
phi2
#s(literal 1 binary64)
(fma.f64 (/.f64 phi2 phi1) R R)
R
#s(literal -1 binary64)
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))
(-.f64 R (*.f64 (/.f64 phi2 phi1) R))
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)
(*.f64 (/.f64 phi2 phi1) R)

localize334.0ms (3.8%)

Memory
-1.3MiB live, 347.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy6.405063473045355
(*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
accuracy7.334803386377478
(*.f64 (/.f64 phi2 phi1) R)
accuracy17.138487702589714
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))
accuracy25.402041048168872
#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 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
accuracy2.7151892831629367
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
accuracy15.452275659048073
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))
accuracy28.83309041273451
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
accuracy49.70994607874079
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))))
accuracy7.334803386377478
(*.f64 (/.f64 phi2 phi1) R)
accuracy13.15703528028178
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)
accuracy17.04894916681004
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
accuracy25.402041048168872
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
accuracy0.0
(neg.f64 R)
accuracy0.0
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))
accuracy1.003895240422241
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))
accuracy25.402041048168872
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
accuracy0.0
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
accuracy0.0546875
(*.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)))
accuracy0.09375
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
accuracy27.68865339312605
#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
235.0ms190×1valid
42.0ms66×0valid
Compiler

Compiled 1 353 to 134 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-mult: 78.0ms (34.8% of total)
ival-cos: 36.0ms (16.1% of total)
ival-add: 34.0ms (15.2% of total)
ival-div: 19.0ms (8.5% of total)
adjust: 16.0ms (7.1% of total)
ival-neg: 13.0ms (5.8% of total)
ival-hypot: 10.0ms (4.5% of total)
ival-sub: 6.0ms (2.7% of total)
ival-log: 6.0ms (2.7% of total)
ival-exp: 5.0ms (2.2% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series289.0ms (3.2%)

Memory
27.1MiB live, 377.1MiB allocated
Counts
25 → 231
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))
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))
(neg.f64 R)
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.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 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))))
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
(neg.f64 lambda2)
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
(*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 (/.f64 phi2 phi1) R)
(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 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
(*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R (+ phi2 (* -1 phi1)))
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* -1 R)
R
(* -1 (* (pow R 2) (* phi1 (- 1 (/ phi2 phi1)))))
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(/ 1 R)
(- 1 (/ phi2 phi1))
(log R)
(/ (* R phi2) phi1)
(* -1 (log (/ 1 R)))
(* -1 (* R (+ phi1 (* -1 phi2))))
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1))))
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1)))
(/ (* (pow R 2) (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1)))
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (/ (+ 1 (/ phi2 phi1)) (* R (- (* -1 (/ phi2 phi1)) 1))))
(+ 1 (* -1 (/ phi2 phi1)))
(* -1 (+ (log (/ -1 R)) (log (/ (+ 1 (/ phi2 phi1)) (- (* -1 (/ phi2 phi1)) 1)))))
(* 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))))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* R (cos (* 1/2 (+ phi1 phi2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* 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))))))
(* 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 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (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 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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))))))))))
(* -1 lambda2)
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)
(* 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 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))
(* -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)))))
(* 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)
(* R phi2)
(+ (* -1 (* R phi1)) (* R phi2))
(* (pow R 2) phi2)
(+ (* -1 (* (pow R 2) phi1)) (* (pow R 2) phi2))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2))))))))))))))
(* -1 (/ phi2 phi1))
(/ (+ phi1 (* -1 phi2)) phi1)
1
(+ 1 (* -1/8 (pow phi1 2)))
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8)))
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8)))
(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))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* (cos (* 1/2 phi1)) (- lambda1 lambda2))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
(* -1 (* (pow R 2) phi1))
(* phi1 (+ (* -1 (pow R 2)) (/ (* (pow R 2) phi2) phi1)))
(cos (* 1/2 phi1))
(cos (* 1/2 (+ phi1 phi2)))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))
(* -1 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))
(* -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 (/ (* (pow R 2) phi2) phi1)) (pow R 2))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1))))))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* 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)))))))))))
(+ (* -1 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R))))
(+ (* -1 (* phi2 (- (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (pow R 2)))) (* -1 (* (pow R 2) phi1)))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 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 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))))
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3))))))
(* phi2 (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2)))
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2))))
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (+ (/ (* phi1 (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1)))))) (pow phi2 3)) (pow R 2)))))
(* phi2 (- (/ 1 phi2) (/ 1 phi1)))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2)))))
(* -1 (* phi2 (- (+ (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) phi2)) (* -1 (pow R 2))) (* -1 (/ (* (pow R 2) phi1) phi2)))))
(* -1 (* phi2 (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (* (pow R 2) (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) phi2))) phi2)) (* -1 (pow R 2)))))
(* -1 (* phi2 (+ (* -1 (/ (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) (/ (* phi1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) phi2)) phi2))) phi2)) (* -1 (pow R 2)))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2))))
(cos (* 1/2 (- phi1 (* -1 phi2))))
Calls

15 calls:

TimeVariablePointExpression
63.0ms
R
@0
((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (sqrt (+ (* (* (- 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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R))))
56.0ms
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))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (sqrt (+ (* (* (- 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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R))))
35.0ms
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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (sqrt (+ (* (* (- 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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R))))
26.0ms
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)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (sqrt (+ (* (* (- 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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R))))
23.0ms
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))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (sqrt (+ (* (* (- 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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R))))

simplify286.0ms (3.2%)

Memory
-2.0MiB live, 193.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012929838
144409024
082268411
Stop Event
iter limit
node limit
Counts
231 → 228
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R (+ phi2 (* -1 phi1)))
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1)))))
(* -1 R)
R
(* -1 (* (pow R 2) (* phi1 (- 1 (/ phi2 phi1)))))
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))))
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(/ 1 R)
(- 1 (/ phi2 phi1))
(log R)
(/ (* R phi2) phi1)
(* -1 (log (/ 1 R)))
(* -1 (* R (+ phi1 (* -1 phi2))))
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1))))
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1)))
(/ (* (pow R 2) (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1)))
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (/ (+ 1 (/ phi2 phi1)) (* R (- (* -1 (/ phi2 phi1)) 1))))
(+ 1 (* -1 (/ phi2 phi1)))
(* -1 (+ (log (/ -1 R)) (log (/ (+ 1 (/ phi2 phi1)) (- (* -1 (/ phi2 phi1)) 1)))))
(* 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))))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(* R (cos (* 1/2 (+ phi1 phi2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* 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))))))
(* 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 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (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 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(* 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))))))))))
(* -1 lambda2)
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)
(* 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 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))
(* -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)))))
(* 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)
(* R phi2)
(+ (* -1 (* R phi1)) (* R phi2))
(* (pow R 2) phi2)
(+ (* -1 (* (pow R 2) phi1)) (* (pow R 2) phi2))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2))))))))))))))
(* -1 (/ phi2 phi1))
(/ (+ phi1 (* -1 phi2)) phi1)
1
(+ 1 (* -1/8 (pow phi1 2)))
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8)))
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8)))
(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))))))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* 1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(* (cos (* 1/2 phi1)) (- lambda1 lambda2))
(* -1 (* R phi1))
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1)))
(* -1 (* (pow R 2) phi1))
(* phi1 (+ (* -1 (pow R 2)) (/ (* (pow R 2) phi2) phi1)))
(cos (* 1/2 phi1))
(cos (* 1/2 (+ phi1 phi2)))
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1)))))
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1)))))
(* -1 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1)))))
(* -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 (/ (* (pow R 2) phi2) phi1)) (pow R 2))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1))))))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* 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)))))))))))
(+ (* -1 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R))))
(+ (* -1 (* phi2 (- (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (pow R 2)))) (* -1 (* (pow R 2) phi1)))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))))))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 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 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))))
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3))))))
(* phi2 (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2)))
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2))))
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (+ (/ (* phi1 (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1)))))) (pow phi2 3)) (pow R 2)))))
(* phi2 (- (/ 1 phi2) (/ 1 phi1)))
(* -1 (* R phi2))
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2)))))
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2)))))
(* -1 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2)))))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2)))))
(* -1 (* phi2 (- (+ (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) phi2)) (* -1 (pow R 2))) (* -1 (/ (* (pow R 2) phi1) phi2)))))
(* -1 (* phi2 (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (* (pow R 2) (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) phi2))) phi2)) (* -1 (pow R 2)))))
(* -1 (* phi2 (+ (* -1 (/ (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) (/ (* phi1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) phi2)) phi2))) phi2)) (* -1 (pow R 2)))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2))))
(cos (* 1/2 (- phi1 (* -1 phi2))))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R)
(* R (+ phi2 (* -1 phi1)))
(*.f64 (-.f64 phi2 phi1) R)
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(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))
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(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
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(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
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(* -1 (* lambda2 (cos (* 1/2 phi1))))
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(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* lambda1 (cos (* 1/2 phi1))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 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 (* 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 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))
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(* 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))))))
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(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))
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(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))
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(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
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(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
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(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))
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(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))))
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(* lambda1 (cos (* 1/2 phi1)))
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(* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1))))
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(* lambda1 (+ (cos (* 1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1))))))))
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(* 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)))))))))
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(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))
(/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)))
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(* -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)))))))
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(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
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(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
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(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
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(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
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(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
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(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
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(* -1 (* lambda1 (cos (* 1/2 phi1))))
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(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda2 (cos (* 1/2 phi1))) lambda1)))))
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(* -1 (* lambda1 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* 1/2 phi1))))) (* lambda2 (cos (* 1/2 phi1)))) lambda1)))))
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(* -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)))))
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(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda2 (cos (* 1/2 phi1))) 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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(+ (* -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 R) (*.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))))) (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) 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 (*.f64 lambda1 lambda1) (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 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) 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 (*.f64 lambda1 lambda1) (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 (*.f64 lambda1 lambda1) (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 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) R))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1))
(+ (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)))))))
(-.f64 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) (*.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))))) (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(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 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64))) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) lambda2) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(+ (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 (*.f64 lambda1 lambda1) (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 (*.f64 lambda1 lambda1) (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 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1)
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) lambda2) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) (- (pow (cos (* 1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 3))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1))
(* -1 lambda2)
(neg.f64 lambda2)
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)
(/.f64 (fma.f64 (neg.f64 (*.f64 R 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))))) 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 (*.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)))) R) 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)))) (*.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)))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 R lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (/.f64 R (*.f64 lambda2 lambda2)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (*.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)))) 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 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))))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2)) (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)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)
(* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2))))
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(* 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (/.f64 phi1 lambda2) (/.f64 phi1 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)))) 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)))))))))
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(* lambda2 (+ (* -1 (cos (* 1/2 phi1))) (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))
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(* 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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) R) lambda2)
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
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(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
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(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
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(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))
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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda1 lambda2) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) (neg.f64 lambda2))) lambda2)))
(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2)))))
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(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* 1/2 phi1))))) (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))
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(* -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)))))
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(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
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(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
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(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
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(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
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(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
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(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2)
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(* R phi2)
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(* (pow R 2) phi2)
(*.f64 (*.f64 R R) phi2)
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(* -1 (/ phi2 phi1))
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(/ (+ phi1 (* -1 phi2)) phi1)
(/.f64 (-.f64 phi1 phi2) phi1)
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(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8)))
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(cos (* 1/2 phi2))
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(* R phi1)
(*.f64 phi1 R)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
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(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
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phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
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(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
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(* 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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(* (cos (* 1/2 phi1)) (- lambda1 lambda2))
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(* -1 (* R phi1))
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(* -1 (* (pow R 2) phi1))
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(cos (* 1/2 phi1))
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(* -1 (* phi1 (+ R (* -1 (/ (* R 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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(fma.f64 (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2)))) lambda2 (*.f64 (*.f64 (neg.f64 lambda2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) phi2))
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda2 (*.f64 (*.f64 (neg.f64 lambda2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) phi2)) phi2 (*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2)))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2)))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2))))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2))))
(+ (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) phi2)
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(*.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) #s(literal 1/2 binary64) (-.f64 R (/.f64 (*.f64 phi1 R) phi2))) phi2)
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (fma.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) R)) phi2)
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) phi2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) (*.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))) phi2)
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))
(*.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2)
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3))))))
(*.f64 (+.f64 (fma.f64 phi1 (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R))) phi1)) (pow.f64 phi2 #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) R) phi2)
(* phi2 (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2)))
(*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2))))
(*.f64 (-.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) (/.f64 (-.f64 (*.f64 (*.f64 phi1 R) (*.f64 phi1 R)) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) (*.f64 phi2 phi2))) phi2)
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (+ (/ (* phi1 (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1)))))) (pow phi2 3)) (pow R 2)))))
(*.f64 (-.f64 (fma.f64 phi1 (/.f64 (-.f64 (*.f64 (*.f64 phi1 R) (*.f64 phi1 R)) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) (pow.f64 phi2 #s(literal 3 binary64))) (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2))) (/.f64 (-.f64 (*.f64 (*.f64 phi1 R) (*.f64 phi1 R)) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) (*.f64 phi2 phi2))) phi2)
(* phi2 (- (/ 1 phi2) (/ 1 phi1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi2) (/.f64 #s(literal 1 binary64) phi1)) phi2)
(* -1 (* R phi2))
(*.f64 (neg.f64 phi2) R)
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2)))))
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) (neg.f64 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 (-.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)) (neg.f64 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 (-.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)) (neg.f64 phi2))
(* -1 phi2)
(neg.f64 phi2)
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) (neg.f64 phi2))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2)))))
(*.f64 (-.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)) (neg.f64 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 (-.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)) (neg.f64 phi2))
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2))))
(*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) (neg.f64 phi2))
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2)))))
(*.f64 (fma.f64 #s(literal -1 binary64) R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) (neg.f64 phi2))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) phi2)) (neg.f64 phi2)) R) (neg.f64 phi2))
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2)))))
(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (fma.f64 phi1 R (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) phi1) phi2) (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1))) phi2)))) (neg.f64 phi2)) R) (neg.f64 phi2))
(* -1 (* phi2 (- (+ (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) phi2)) (* -1 (pow R 2))) (* -1 (/ (* (pow R 2) phi1) phi2)))))
(*.f64 (fma.f64 (neg.f64 R) R (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) (neg.f64 phi2))
(* -1 (* phi2 (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (* (pow R 2) (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) phi2))) phi2)) (* -1 (pow R 2)))))
(*.f64 (neg.f64 (fma.f64 R R (/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 R) R) (*.f64 phi1 phi1) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) phi2)) phi2))) (neg.f64 phi2))
(* -1 (* phi2 (+ (* -1 (/ (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) (/ (* phi1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) phi2)) phi2))) phi2)) (* -1 (pow R 2)))))
(*.f64 (neg.f64 (fma.f64 R R (/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (fma.f64 (*.f64 R R) phi1 (/.f64 (fma.f64 phi1 (/.f64 (fma.f64 (*.f64 (neg.f64 R) R) (*.f64 phi1 phi1) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) phi2) (neg.f64 (fma.f64 (*.f64 (neg.f64 R) R) (*.f64 phi1 phi1) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)))) phi2)))) phi2))) (neg.f64 phi2))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))))
(*.f64 (neg.f64 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)))) R))
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R)
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) (neg.f64 phi2))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))

rewrite202.0ms (2.3%)

Memory
0.6MiB live, 172.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073590
0109512
1396488
22859487
09339456
Stop Event
iter limit
node limit
iter limit
Counts
25 → 416
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))
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))
(neg.f64 R)
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.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 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))))
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))
(neg.f64 lambda2)
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)
(*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(*.f64 (/.f64 phi2 phi1) R)
(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 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
(*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))
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 (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)))
(*.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 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) (*.f64 phi1 phi1)) #s(literal -1 binary64))))
(*.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)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) (*.f64 phi1 phi1)) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.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))) #s(literal -1 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))) (pow.f64 (pow.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))) #s(literal -1 binary64)) #s(literal 1/2 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 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)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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 (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))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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 (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 (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 (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 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)) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(hypot.f64 (exp.f64 (log.f64 phi1)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(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) (*.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))) (exp.f64 (log.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 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(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)))
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(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (/.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) R))
(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (pow.f64 R #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(*.f64 (neg.f64 phi1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)) R))
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1)))
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)) (pow.f64 R #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))))
(*.f64 phi1 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))))
(pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal -1 binary64)) R)
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64)) R)
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) (neg.f64 (neg.f64 R)))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R))) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (neg.f64 R))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))))
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) R)
(/.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) R))
(neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (neg.f64 R)))
(neg.f64 (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1))
(*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))
(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R))
(*.f64 (neg.f64 phi1) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)))
(*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))))
(/.f64 (*.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 (*.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)))
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(/.f64 (*.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R))) (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))
(/.f64 (*.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R))) (*.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))))
(neg.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) phi1) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(neg.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) phi1)))
(neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) phi1) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)))
(fma.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) R (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (*.f64 (/.f64 (neg.f64 phi2) phi1) R)))
(fma.f64 R (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (*.f64 (*.f64 (/.f64 (neg.f64 phi2) phi1) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))))
(+.f64 (*.f64 R (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (*.f64 (*.f64 (/.f64 (neg.f64 phi2) phi1) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))))
(+.f64 (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) R) (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (*.f64 (/.f64 (neg.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 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (neg.f64 lambda2)))
(*.f64 (*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) #s(literal -1 binary64)) lambda2)
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2))
(*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (neg.f64 lambda2))
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)))
(*.f64 lambda2 (neg.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))))
(neg.f64 (*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2))
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2))
(*.f64 #s(literal -1 binary64) lambda2)
(*.f64 lambda2 #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 lambda2 lambda2)) (+.f64 #s(literal 0 binary64) lambda2))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 lambda2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 lambda2 lambda2 (*.f64 #s(literal 0 binary64) lambda2))))
(neg.f64 lambda2)
(-.f64 #s(literal 0 binary64) lambda2)
(+.f64 #s(literal 0 binary64) (neg.f64 lambda2))
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(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R))) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R))
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (neg.f64 R))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))))
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) R)
(/.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) R))
(neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (neg.f64 R)))
(neg.f64 (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) #s(literal -1 binary64)))

eval131.0ms (1.5%)

Memory
-15.4MiB live, 134.6MiB allocated
Compiler

Compiled 40 366 to 3 192 computations (92.1% saved)

prune101.0ms (1.1%)

Memory
26.9MiB live, 142.0MiB allocated
Pruning

56 alts after pruning (51 fresh and 5 done)

PrunedKeptTotal
New54618564
Fresh103343
Picked325
Done134
Total56056616
Accuracy
98.4%
Counts
616 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R))
53.0%
(*.f64 R (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
24.2%
(*.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))))
23.1%
(*.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))))
59.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) phi2)))
75.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
60.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1)))
24.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2)))
20.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1)))
12.3%
(*.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) (-.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)))))))
19.3%
(*.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) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2))))))
8.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
6.7%
(*.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) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
29.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
48.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
46.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
58.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))
37.2%
(*.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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))))
20.2%
(*.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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (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)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
12.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
50.8%
(*.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)) lambda2) phi1))))
20.2%
(*.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))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
24.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
12.2%
(*.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))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1))))
13.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))))
45.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
44.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))))
43.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
37.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R)))
27.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R))
32.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
33.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) R)) lambda1))
57.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
6.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) lambda1))
34.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (fma.f64 (neg.f64 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)))) R) lambda2))
17.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
9.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
13.0%
#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 lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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))))))
57.9%
#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 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))))))
58.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
46.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R))))
47.3%
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R))))
48.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
51.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (exp.f64 #s(approx (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (log.f64 R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
57.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
8.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R))))
36.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
33.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2)))
58.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
18.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R))) (*.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R))))))
53.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
49.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
60.3%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
20.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (*.f64 (*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) R) lambda2)))
Compiler

Compiled 7 987 to 2 197 computations (72.5% saved)

regimes270.0ms (3%)

Memory
-27.1MiB live, 328.8MiB allocated
Counts
87 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R)))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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)))) #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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) R)) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 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 -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) lambda1))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
Calls

9 calls:

40.0ms
phi1
28.0ms
(*.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)))))
27.0ms
(-.f64 lambda1 lambda2)
25.0ms
R
25.0ms
lambda2
Results
AccuracySegmentsBranch
78.6%2R
80.0%3lambda1
75.7%1lambda2
92.1%2phi1
93.2%2phi2
82.6%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)))))
82.6%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))))
82.6%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)))
81.7%2(-.f64 lambda1 lambda2)
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes35.0ms (0.4%)

Memory
5.2MiB live, 82.8MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R)))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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)))) #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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R))))
#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 lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) #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 lambda2) #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 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.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 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #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)))) #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)))) (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:

16.0ms
phi1
14.0ms
phi2
Results
AccuracySegmentsBranch
85.1%2phi1
88.5%2phi2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes34.0ms (0.4%)

Memory
17.0MiB live, 98.0MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R)))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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)))) #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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R))))
#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 lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) #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 lambda2) #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 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.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 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #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)))) #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))))
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 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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:

16.0ms
phi1
15.0ms
phi2
Results
AccuracySegmentsBranch
80.5%2phi1
83.7%2phi2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes65.0ms (0.7%)

Memory
6.2MiB live, 83.4MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R)))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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)))) #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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R))))
#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 lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) #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 lambda2) #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 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.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 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #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)))) #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)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))
Calls

4 calls:

24.0ms
phi2
13.0ms
(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))))
12.0ms
(+.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)))
12.0ms
(*.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)))))
Results
AccuracySegmentsBranch
68.6%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)))))
68.6%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))))
68.6%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)))
81.8%2phi2
Compiler

Compiled 92 to 53 computations (42.4% saved)

regimes18.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R)))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
Calls

2 calls:

8.0ms
phi2
8.0ms
(-.f64 lambda1 lambda2)
Results
AccuracySegmentsBranch
71.3%2(-.f64 lambda1 lambda2)
81.3%2phi2
Compiler

Compiled 4 to 11 computations (-175% saved)

regimes116.0ms (1.3%)

Memory
-0.5MiB live, 113.7MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R)))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#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 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R))
#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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2)))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))
Calls

9 calls:

47.0ms
phi1
13.0ms
lambda1
9.0ms
(+.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)))
8.0ms
phi2
8.0ms
(-.f64 lambda1 lambda2)
Results
AccuracySegmentsBranch
60.3%1(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
60.3%1(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
60.3%1(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
63.1%2(-.f64 lambda1 lambda2)
62.1%2lambda2
60.3%1lambda1
63.6%2R
60.3%1phi1
63.6%2phi2
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes29.0ms (0.3%)

Memory
-15.9MiB live, 19.7MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
(*.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)))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
Calls

2 calls:

24.0ms
phi2
4.0ms
R
Results
AccuracySegmentsBranch
63.6%2phi2
63.6%2R
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes13.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))
Calls

3 calls:

4.0ms
phi2
4.0ms
R
4.0ms
(-.f64 lambda1 lambda2)
Results
AccuracySegmentsBranch
60.3%1(-.f64 lambda1 lambda2)
62.9%2R
62.9%2phi2
Compiler

Compiled 5 to 16 computations (-220% saved)

regimes6.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R))
Calls

2 calls:

3.0ms
phi2
3.0ms
R
Results
AccuracySegmentsBranch
60.3%1phi2
62.1%2R
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes30.0ms (0.3%)

Memory
-24.6MiB live, 14.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1))))
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2))))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
Calls

5 calls:

20.0ms
(+.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)))
2.0ms
R
2.0ms
lambda2
2.0ms
(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))))
2.0ms
(*.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)))))
Results
AccuracySegmentsBranch
60.3%1(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
60.3%1(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
60.3%1(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
60.3%1lambda2
60.3%1R
Compiler

Compiled 93 to 58 computations (37.6% saved)

regimes13.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
Calls

9 calls:

1.0ms
R
1.0ms
phi2
1.0ms
(*.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)))))
1.0ms
phi1
1.0ms
lambda1
Results
AccuracySegmentsBranch
36.3%1lambda2
57.2%2phi2
36.3%1R
36.3%1(-.f64 lambda1 lambda2)
55.2%2phi1
38.2%2lambda1
38.0%2(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
38.1%2(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
38.1%2(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes7.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
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

6 calls:

1.0ms
phi2
1.0ms
(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))))
1.0ms
(*.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)))))
1.0ms
(+.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)))
1.0ms
phi1
Results
AccuracySegmentsBranch
36.3%1(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
36.3%1(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
36.3%1(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
36.3%1lambda1
36.3%1phi1
36.3%1phi2
Compiler

Compiled 94 to 63 computations (33% saved)

bsearch38.0ms (0.4%)

Memory
-29.7MiB live, 19.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
3283.236733082653
217961.5051419078
Samples
20.0ms13×1valid
10.0ms99×0valid
Compiler

Compiled 637 to 372 computations (41.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-add: 18.0ms (66.8% of total)
ival-cos: 3.0ms (11.1% of total)
ival-mult: 2.0ms (7.4% of total)
ival-hypot: 2.0ms (7.4% of total)
ival-div: 1.0ms (3.7% of total)
ival-sub: 1.0ms (3.7% 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)

bsearch18.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
217961.5051419078
944698.5001400451
Samples
8.0ms76×0valid
4.0ms20×1valid
Compiler

Compiled 677 to 370 computations (45.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (33.8% of total)
ival-hypot: 2.0ms (22.5% of total)
ival-add: 1.0ms (11.3% of total)
ival-div: 1.0ms (11.3% of total)
adjust: 1.0ms (11.3% of total)
ival-sub: 1.0ms (11.3% of total)
ival-mult: 1.0ms (11.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
217961.5051419078
944698.5001400451
Compiler

Compiled 689 to 382 computations (44.6% saved)

bsearch30.0ms (0.3%)

Memory
1.4MiB live, 38.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
5.832390541350995e+27
3.1544456699774802e+32
Samples
15.0ms58×1valid
7.0ms70×0valid
Compiler

Compiled 755 to 454 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 5.0ms (29.4% of total)
adjust: 4.0ms (23.5% of total)
ival-hypot: 3.0ms (17.7% of total)
ival-mult: 2.0ms (11.8% of total)
ival-add: 1.0ms (5.9% of total)
ival-div: 1.0ms (5.9% of total)
ival-sub: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Memory
-12.8MiB live, 25.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
5.697281785032819e+20
3.352918627687856e+21
Samples
27.0ms60×0valid
8.0ms36×1valid
Compiler

Compiled 653 to 376 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sub: 22.0ms (70.2% of total)
ival-cos: 3.0ms (9.6% of total)
ival-mult: 2.0ms (6.4% of total)
ival-hypot: 2.0ms (6.4% of total)
adjust: 1.0ms (3.2% of total)
ival-div: 1.0ms (3.2% of total)
ival-add: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory
-11.1MiB live, 26.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
1.743894178973454e+138
1.2096157306144449e+142
Samples
10.0ms111×0valid
7.0ms17×1valid
Compiler

Compiled 923 to 510 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 5.0ms (40.1% of total)
ival-mult: 2.0ms (16.1% of total)
ival-hypot: 2.0ms (16.1% of total)
ival-cos: 2.0ms (16.1% of total)
adjust: 1.0ms (8% of total)
ival-div: 1.0ms (8% of total)
ival-add: 1.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory
30.0MiB live, 30.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
9.958155028206203e+111
1.3856487828552833e+115
Samples
9.0ms47×1valid
7.0ms81×0valid
Compiler

Compiled 843 to 470 computations (44.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-hypot: 3.0ms (25.8% of total)
ival-mult: 2.0ms (17.2% of total)
ival-cos: 2.0ms (17.2% of total)
ival-add: 1.0ms (8.6% of total)
adjust: 1.0ms (8.6% of total)
ival-div: 1.0ms (8.6% of total)
ival-sub: 1.0ms (8.6% 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
-41.8MiB live, 9.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
2.3481242495493893e+107
4.35094310720908e+107
Samples
4.0ms50×0valid
3.0ms14×1valid
Compiler

Compiled 479 to 266 computations (44.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (19.4% of total)
ival-hypot: 1.0ms (19.4% of total)
ival-sub: 1.0ms (19.4% of total)
ival-cos: 1.0ms (19.4% of total)
ival-mult: 1.0ms (19.4% of total)
ival-add: 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)

bsearch18.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
3.9780576940595135e+264
7.825873845800792e+267
Samples
11.0ms128×0valid
Compiler

Compiled 1 019 to 542 computations (46.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (27.4% of total)
ival-hypot: 2.0ms (27.4% of total)
ival-div: 1.0ms (13.7% of total)
ival-add: 1.0ms (13.7% of total)
ival-sub: 1.0ms (13.7% of total)
ival-cos: 1.0ms (13.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
-6.2MiB live, 32.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
3.1544456699774802e+32
1.897729203492313e+36
Samples
13.0ms58×1valid
6.0ms70×0valid
Compiler

Compiled 603 to 342 computations (43.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-hypot: 3.0ms (22.9% of total)
ival-cos: 3.0ms (22.9% of total)
ival-mult: 2.0ms (15.3% of total)
ival-add: 1.0ms (7.6% of total)
adjust: 1.0ms (7.6% of total)
ival-div: 1.0ms (7.6% of total)
ival-sub: 1.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify50.0ms (0.6%)

Memory
16.2MiB live, 52.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321146
12201140
24381128
313011108
443691108
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 phi2 #s(literal 3300 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 230000 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 phi2 #s(literal 230000 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 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 phi2 #s(literal 19999999999999999271792589930496 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 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 2300000000000000000000 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 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))))
(if (<=.f64 R #s(literal 5400000000000000177344437441706600826529867858341903155766492501797233837253455175937607104389728028493327325835341152124701849424742055936 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))))
(if (<=.f64 phi2 #s(literal 79999999999999994409594775410435178277386652011118147940927174893177838662647311230095708695154035740617824272384 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1))))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))))
(if (<=.f64 R #s(literal 320000000000000029131519696117899203347345278456155698289454635994908892651242692868933763121331590098059264 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))))
(if (<=.f64 R #s(literal 7499999999999999800786686406201704794081389208421178129452844439903594730183334925205333033576515167613618757172472318926243684380173602057637623044818515974360919600944855803055294688586769969147366366806572531484178841408458524222778155951498726200676046690488156160 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
(if (<=.f64 phi2 #s(literal 2699999999999999910699198895357952 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 3300 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 230000 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 phi2 #s(literal 230000 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 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 phi2 #s(literal 19999999999999999271792589930496 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 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 2300000000000000000000 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 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))))
(if (<=.f64 R #s(literal 5400000000000000177344437441706600826529867858341903155766492501797233837253455175937607104389728028493327325835341152124701849424742055936 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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 (neg.f64 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))))
(if (<=.f64 phi2 #s(literal 79999999999999994409594775410435178277386652011118147940927174893177838662647311230095708695154035740617824272384 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1))))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))))
(if (<=.f64 R #s(literal 320000000000000029131519696117899203347345278456155698289454635994908892651242692868933763121331590098059264 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))))
(if (<=.f64 R #s(literal 7499999999999999800786686406201704794081389208421178129452844439903594730183334925205333033576515167613618757172472318926243684380173602057637623044818515974360919600944855803055294688586769969147366366806572531484178841408458524222778155951498726200676046690488156160 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))
(if (<=.f64 phi2 #s(literal 2699999999999999910699198895357952 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))

soundness972.0ms (10.9%)

Memory
12.7MiB live, 519.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012929838
144409024
082268411
056502
089412
1334380
22565380
08582340
047382
075316
1251316
21799316
09005286
08847928
129747384
279487384
081156877
011549110
139128553
083307971
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 668 to 609 computations (63.5% saved)

preprocess182.0ms (2%)

Memory
1.3MiB live, 129.9MiB allocated
Remove

(sort lambda1 lambda2)

(negabs R)

Compiler

Compiled 3 076 to 566 computations (81.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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