Equirectangular approximation to distance on a great circle

Time bar (total: 8.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 34 to 16 computations (52.9% saved)

sample1.7s (21.2%)

Memory
-147.1MiB live, 1 193.0MiB allocated
Samples
880.0ms6 541×0valid
406.0ms1 715×1valid
Precisions
Click to see histograms. Total time spent on operations: 859.0ms
ival-mult: 198.0ms (23.1% of total)
ival-hypot: 166.0ms (19.3% of total)
ival-cos: 160.0ms (18.6% of total)
ival-div: 111.0ms (12.9% of total)
ival-sub: 94.0ms (10.9% of total)
ival-add: 67.0ms (7.8% of total)
adjust: 46.0ms (5.4% of total)
ival-true: 7.0ms (0.8% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain354.0ms (4.4%)

Memory
-4.5MiB live, 320.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1740-0-(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))))
56132(-9.127868887223295e-133 8.338768532169687e-260 3.5479815136270504e+111 -2.3816487049966776e+265 2.431818399454371e-60)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)))sensitivity1880
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-rescue1740
↳(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))overflow100
↳(*.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)))))overflow113
↳(+.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)))overflow174
Confusion
Predicted +Predicted -
+1120
-10836
Precision
0.509090909090909
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11200
-108036
Precision?
0.509090909090909
Recall?
1.0
Freqs
test
numberfreq
036
178
2142
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
143.0ms358×1valid
19.0ms154×0valid
Compiler

Compiled 501 to 72 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 39.0ms (30.5% of total)
ival-cos: 31.0ms (24.3% of total)
ival-add: 17.0ms (13.3% of total)
ival-hypot: 13.0ms (10.2% of total)
adjust: 12.0ms (9.4% of total)
ival-sub: 9.0ms (7% of total)
ival-div: 6.0ms (4.7% of total)
ival-true: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess151.0ms (1.9%)

Memory
35.3MiB live, 110.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149667
1569645
22432645
01732
02832
16632
222832
3114032
4645623
0804216
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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)

prune4.0ms (0%)

Memory
-36.3MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.7%
(*.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)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize113.0ms (1.4%)

Memory
27.9MiB live, 113.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1796875
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))
accuracy0.22722626953688402
(*.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)))))
accuracy11.408222318042354
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
accuracy40.294268790053266
(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
68.0ms179×1valid
18.0ms77×0valid
Compiler

Compiled 312 to 36 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 24.0ms (35% of total)
ival-cos: 13.0ms (18.9% of total)
ival-sub: 12.0ms (17.5% of total)
ival-hypot: 7.0ms (10.2% of total)
adjust: 6.0ms (8.7% of total)
ival-add: 4.0ms (5.8% of total)
ival-div: 3.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
-24.6MiB live, 51.6MiB allocated
Counts
4 → 96
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))))
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(*.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))))
Outputs
(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))
(+ (* -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 (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)) 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))))))))))
(+ (* -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 (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)) 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)))))))))))
(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))))))
(* (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)) (- 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)))))))
(cos (* 1/2 (+ phi1 phi2)))
(* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))
(* (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)))))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))
(* (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)))))))))))
(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))))))
(* (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)) (- 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)))))))
(* -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)))))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))
Calls

15 calls:

TimeVariablePointExpression
12.0ms
phi2
@-inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
4.0ms
lambda1
@inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (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)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
3.0ms
phi2
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
3.0ms
lambda1
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))

simplify196.0ms (2.4%)

Memory
34.2MiB live, 150.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05343983
119783617
083513387
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
(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))
(+ (* -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 (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)) 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))))))))))
(+ (* -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 (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)) 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)))))))))))
(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))))))
(* (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)) (- 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)))))))
(cos (* 1/2 (+ phi1 phi2)))
(* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))
(* (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)))))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))
(* (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)))))))))))
(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))))))
(* (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)) (- 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)))))))
(* -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)))))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))
Outputs
(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 (*.f64 lambda1 (*.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (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 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) lambda1) (-.f64 (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 4 binary64)) (*.f64 lambda2 lambda2)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) lambda1) (-.f64 (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 4 binary64)) (*.f64 lambda2 lambda2)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda2)) (*.f64 (-.f64 (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 4 binary64)) (*.f64 lambda2 lambda2)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (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)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64))))) lambda1)) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)))
(* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda1 lambda2)) lambda2)
(+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda1 lambda2)) lambda2 (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)
(* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
(*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda1 lambda1))
(* (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 (*.f64 lambda2 lambda2) lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1) (fma.f64 (*.f64 #s(literal -2 binary64) lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 lambda1 lambda1))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) lambda1)))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1)) 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 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) lambda2) (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 lambda2 lambda2)) (neg.f64 lambda1))) 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 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))
(fma.f64 (*.f64 (*.f64 (neg.f64 lambda2) (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))))) (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 (*.f64 #s(literal 1/2 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 (neg.f64 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))))))))
(fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 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 (neg.f64 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 (*.f64 lambda2 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.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))))) (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)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)))
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda2 lambda1)) lambda1)
(+ (* lambda2 (+ (* -2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda1 lambda2)) lambda2 (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda2 lambda2))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
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(* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda2)
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)) lambda2)))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 lambda1 lambda2) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda2)) lambda2)))
(* (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)))
(*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) lambda1) (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 2 binary64))) (neg.f64 lambda2))) lambda2)) (*.f64 lambda2 lambda2))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2)
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.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 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) phi1 (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -2 binary64) phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (+.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #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 #s(literal -1/2 binary64) (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -2 binary64) phi2))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) phi1))))) phi1 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2))
(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 phi1 #s(literal -1/8 binary64)) (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)))
(* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #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 (*.f64 phi1 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(fma.f64 (fma.f64 (*.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* phi1 (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(fma.f64 (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (fma.f64 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))))) phi1)) phi1 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))
(* (cos (* 1/2 phi2)) (- lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(+ (* -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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* -1/8 (* phi1 (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))
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(+ (* 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)))
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phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
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(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
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(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
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(cos (* 1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))
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(* -1 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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(cos (* 1/2 (- phi2 (* -1 phi1))))
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(* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))
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(cos (* 1/2 phi1))
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(+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1)))))
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(* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))
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(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 lambda1 lambda2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (*.f64 phi2 #s(literal -1/8 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 lambda1 lambda2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 #s(literal 1/48 binary64) phi2) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))) phi2)) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)))
phi2
(* phi2 (+ 1 (* -1 (/ phi1 phi2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))
(fma.f64 (/.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) (neg.f64 phi2)) phi2 phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) phi2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) (*.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))) phi2)
(* -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)))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) (neg.f64 phi2)) 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)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 phi1 (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))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))

rewrite217.0ms (2.7%)

Memory
-3.8MiB live, 152.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01567
02547
111547
2112747
0910542
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 255
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))))
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(*.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))))
Outputs
(*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -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)) (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)))) (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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64)) (pow.f64 (-.f64 phi1 phi2) #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64)) (pow.f64 (-.f64 phi1 phi2) #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64)) (pow.f64 (-.f64 phi1 phi2) #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 6 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64)) (pow.f64 (-.f64 phi1 phi2) #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64)) (pow.f64 (-.f64 phi1 phi2) #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) (sqrt.f64 (/.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 (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 (+.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 (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 (+.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))))
(fabs.f64 (hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2)))))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))) (sqrt.f64 (neg.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))) (exp.f64 (log.f64 (-.f64 phi1 phi2))))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 (-.f64 phi1 phi2))))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))) (-.f64 phi2 phi1))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))) (neg.f64 (-.f64 phi1 phi2)))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))) (-.f64 phi1 phi2))
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(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)))) (fabs.f64 (+.f64 lambda2 lambda1)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)))) (fabs.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(neg.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))
(fabs.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2))))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64)))
(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 (cosh.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))) (sqrt.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (sqrt.f64 (fabs.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1)))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2))) (sqrt.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 lambda1 lambda2)))
(*.f64 (sqrt.f64 (-.f64 lambda1 lambda2)) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 lambda1 lambda2)) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))))
(*.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 (fabs.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (fabs.f64 (-.f64 lambda2 lambda1)))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (fabs.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.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))) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))
(pow.f64 (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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (+.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 (fabs.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (fabs.f64 (+.f64 lambda2 lambda1)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (fabs.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (fabs.f64 (+.f64 lambda2 lambda1)))
(/.f64 (fabs.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))))) (fabs.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)))) (sqrt.f64 (+.f64 lambda2 lambda1)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)))) (sqrt.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (+.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 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 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)))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2))))
(fabs.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (PI.f64))) (-.f64 lambda1 lambda2)))
(fabs.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))
(exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 1 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))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)))

eval92.0ms (1.1%)

Memory
3.4MiB live, 128.2MiB allocated
Compiler

Compiled 17 760 to 2 052 computations (88.4% saved)

prune62.0ms (0.8%)

Memory
-25.7MiB live, 49.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New40916425
Fresh000
Picked101
Done000
Total41016426
Accuracy
96.1%
Counts
426 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(*.f64 R (hypot.f64 (-.f64 phi2 phi1) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))))
▶56.9%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
56.6%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 phi2 #s(literal 1/2 binary64))) (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
49.8%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (/ (+ phi1 phi2) 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
43.6%
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (fma.f64 (*.f64 phi1 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
36.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.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 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2))))
▶72.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2)))
71.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
16.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (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)))
50.6%
(*.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)))
50.9%
(*.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)))))
▶37.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
23.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
▶21.2%
(*.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 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
9.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
▶32.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
Compiler

Compiled 1 466 to 840 computations (42.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize388.0ms (4.8%)

Memory
26.6MiB live, 383.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.22722626953688402
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
accuracy11.408222318042354
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
accuracy40.294268790053266
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
accuracy58.16105517060583
(cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64)))
accuracy0.19140625
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
accuracy7.676724785596972
(*.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)))))
accuracy11.408222318042354
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy38.699854143558284
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
accuracy0.05078125
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
accuracy0.1796875
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
accuracy11.408222318042354
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy51.11573877798806
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))
accuracy0.0
(neg.f64 phi1)
accuracy0.05078125
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
accuracy47.040435434703305
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
accuracy0.0
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
accuracy0.05078125
(*.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)))
accuracy0.12109375
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
accuracy24.607770139087215
#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))
Samples
275.0ms214×1valid
42.0ms35×2valid
3.0ms7×0valid
Compiler

Compiled 1 468 to 115 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 258.0ms
ival-cos: 123.0ms (47.7% of total)
ival-mult: 42.0ms (16.3% of total)
adjust: 23.0ms (8.9% of total)
ival-hypot: 16.0ms (6.2% of total)
ival-sin: 15.0ms (5.8% of total)
ival-add: 13.0ms (5% of total)
ival-div: 10.0ms (3.9% of total)
ival-sub: 5.0ms (1.9% of total)
ival-sqrt: 4.0ms (1.6% of total)
ival-neg: 3.0ms (1.2% of total)
ival-pi: 2.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series155.0ms (1.9%)

Memory
-1.1MiB live, 109.1MiB allocated
Counts
18 → 241
Calls
Call 1
Inputs
#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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(*.f64 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)
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 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))))))))))
(* -1 (* lambda2 (cos (* -1/2 phi2))))
(+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(+ (* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))
(/ (cos (* -1/2 (+ phi1 phi2))) lambda1)
(sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))
(+ (sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))
(+ (sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))))
(+ (sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)) 3))))))))))
(* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))
(+ (* -2 (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(+ (* lambda1 (+ (* -2 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* 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))))
(* 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))))))))
(* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))
(* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))
(* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))))
(* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (+ (* 1/2 (* (/ (* lambda2 (pow (- phi1 phi2) 2)) (pow lambda1 3)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))))
(* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda1)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda1)) (+ (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow lambda1 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)))))
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda2 (cos (* -1/2 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 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* -1 (* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))
(* -1 (* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))
(* -1 (* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1/2 (* (/ (pow (- phi1 phi2) 2) lambda1) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda1)))))
(* -1 (* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (pow (- phi1 phi2) 2))) (* 1/2 (* (/ (* lambda2 (pow (- phi1 phi2) 2)) lambda1) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))) lambda1)) (* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda1)))))
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda1)) (* 2 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda1)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(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))))))))))
(* 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) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))
(+ (sqrt (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))
(+ (sqrt (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))))
(+ (sqrt (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)) 3))))))))))
(+ (* -2 (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(+ (* lambda2 (+ (* -2 (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* 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 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 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))) (* -1 (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2))))
(* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))
(* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))))
(* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (+ (* 1/2 (* (/ (* lambda1 (pow (- phi1 phi2) 2)) (pow lambda2 3)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda2)) (+ (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow lambda2 2)))))
(* -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 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))
(* -1 (* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))
(* -1 (* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1/2 (* (/ (pow (- phi1 phi2) 2) lambda2) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda2)))))
(* -1 (* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (pow (- phi1 phi2) 2))) (* 1/2 (* (/ (* lambda1 (pow (- phi1 phi2) 2)) lambda2) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))) lambda2)) (* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda2)))))
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda2)) (* 2 (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
(* R (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)))))))))))
(* -1 phi1)
(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))))))
(* lambda2 (cos (* -1/2 phi2)))
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(+ (* -1 (* lambda1 (* phi1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* 1/48 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))))))
(/ (cos (* -1/2 phi2)) lambda1)
(+ (* 1/2 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)) (/ (cos (* -1/2 phi2)) lambda1))
(+ (* phi1 (+ (* -1/8 (/ (* phi1 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)))) (/ (cos (* -1/2 phi2)) lambda1))
(+ (* phi1 (+ (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)) (* phi1 (+ (* -1/8 (/ (cos (* -1/2 phi2)) lambda1)) (* -1/48 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)))))) (/ (cos (* -1/2 phi2)) lambda1))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (* 1/4 (/ (pow (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (* 1/4 (/ (pow (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (+ (* -1/16 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* -1/48 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (* 1/2 (/ (* (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))))) (- (+ 1 (+ (* -1/4 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (* 1/4 (/ (pow (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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)))))))))))
(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))))))
(* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
(+ (* phi1 (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* phi1 (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* -1/4 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* phi1 (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* -1/4 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) (* phi1 (+ (* -1/16 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* -1/48 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))))))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 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)))))))
(* 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)))))))
(cos (* -1/2 (+ phi1 phi2)))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(cos (* 1/2 (+ phi1 phi2)))
(* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
(* -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 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)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1)))))
(/ (cos (* -1/2 (- phi2 (* -1 phi1)))) lambda1)
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) phi1))) phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* phi2 (* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) phi1))) phi1))) phi1)))))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 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 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(* R (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)))))))))))
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))))))
(* lambda2 (cos (* -1/2 phi1)))
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))
(+ (* -1 (* lambda1 (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))))))
(/ (cos (* -1/2 phi1)) lambda1)
(+ (* 1/2 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)) (/ (cos (* -1/2 phi1)) lambda1))
(+ (* phi2 (+ (* -1/8 (/ (* phi2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)))) (/ (cos (* -1/2 phi1)) lambda1))
(+ (* phi2 (+ (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)) (* phi2 (+ (* -1/8 (/ (cos (* -1/2 phi1)) lambda1)) (* -1/48 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)))))) (/ (cos (* -1/2 phi1)) lambda1))
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* -1/2 (* phi2 (sin (* 1/2 (PI))))))
(+ (cos (* 1/2 (PI))) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 (PI))))) (* 1/2 (sin (* 1/2 (PI)))))))
(+ (cos (* 1/2 (PI))) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 (PI)))) (* 1/48 (* phi2 (sin (* 1/2 (PI))))))) (* 1/2 (sin (* 1/2 (PI)))))))
(sqrt (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))
(+ (sqrt (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(+ (sqrt (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))))) (* 1/4 (/ (pow (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) 2) (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
(+ (sqrt (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))) (- (+ 1 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))))) (* 1/4 (/ (pow (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) 2) (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/48 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))))))) (* 1/2 (/ (* (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) (- (+ 1 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))))) (* 1/4 (/ (pow (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) 2) (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 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)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
(+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))))
(+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))))))))) (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))))
(+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/48 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))))))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))))))))) (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 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)))))))
(* (cos (* -1/2 phi2)) (- lambda1 lambda2))
(* R phi2)
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
(cos (* 1/2 (+ phi2 (PI))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (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)))))
(* -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)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))))
(/ (cos (* -1/2 (- phi1 (* -1 phi2)))) lambda1)
(cos (* 1/2 (- (PI) (* -1 phi2))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* phi1 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) phi2))) phi2))) phi2)))))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
Calls

15 calls:

TimeVariablePointExpression
34.0ms
lambda1
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi2)) (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 phi1) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) 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 lambda1) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1))))) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (/ (+ phi2 (PI)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
29.0ms
phi2
@-inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi2)) (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 phi1) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) 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 lambda1) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1))))) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (/ (+ phi2 (PI)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
12.0ms
phi1
@inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi2)) (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 phi1) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) 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 lambda1) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1))))) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (/ (+ phi2 (PI)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
11.0ms
lambda2
@-inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi2)) (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 phi1) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) 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 lambda1) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1))))) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (/ (+ phi2 (PI)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
9.0ms
phi2
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi2)) (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 phi1) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) 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 lambda1) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1))))) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1) (cos (/ (+ phi2 (PI)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ (* (sin (* phi1 1/2)) (cos (/ (+ phi2 (PI)) 2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))

simplify261.0ms (3.2%)

Memory
-15.5MiB live, 224.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140614740
1540914503
0846913672
Stop Event
1×iter limit
1×node limit
Counts
241 → 239
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))))))))))
(* -1 (* lambda2 (cos (* -1/2 phi2))))
(+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(+ (* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))
(/ (cos (* -1/2 (+ phi1 phi2))) lambda1)
(sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))
(+ (sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))
(+ (sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))))
(+ (sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)) 3))))))))))
(* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))
(+ (* -2 (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(+ (* lambda1 (+ (* -2 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* 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))))
(* 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))))))))
(* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))
(* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))
(* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))))
(* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (+ (* 1/2 (* (/ (* lambda2 (pow (- phi1 phi2) 2)) (pow lambda1 3)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))))
(* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda1)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda1)) (+ (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow lambda1 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)))))
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda2 (cos (* -1/2 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 (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))))
(* -1 (* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))
(* -1 (* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))
(* -1 (* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1/2 (* (/ (pow (- phi1 phi2) 2) lambda1) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda1)))))
(* -1 (* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (pow (- phi1 phi2) 2))) (* 1/2 (* (/ (* lambda2 (pow (- phi1 phi2) 2)) lambda1) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))) lambda1)) (* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda1)))))
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda1)) (* 2 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda1)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(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))))))))))
(* 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) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))
(+ (sqrt (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))
(+ (sqrt (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))))
(+ (sqrt (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)) 3))))))))))
(+ (* -2 (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(+ (* lambda2 (+ (* -2 (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* 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 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 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))) (* -1 (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2))))
(* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))
(* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))))
(* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (+ (* 1/2 (* (/ (* lambda1 (pow (- phi1 phi2) 2)) (pow lambda2 3)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda2)) (+ (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow lambda2 2)))))
(* -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 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2))))
(* -1 (* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))
(* -1 (* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))
(* -1 (* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1/2 (* (/ (pow (- phi1 phi2) 2) lambda2) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda2)))))
(* -1 (* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (pow (- phi1 phi2) 2))) (* 1/2 (* (/ (* lambda1 (pow (- phi1 phi2) 2)) lambda2) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))) lambda2)) (* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda2)))))
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda2)) (* 2 (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
(* R (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)))))))))))
(* -1 phi1)
(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))))))
(* lambda2 (cos (* -1/2 phi2)))
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))
(+ (* -1 (* lambda1 (* phi1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) (* phi1 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* -1/2 (sin (* -1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda1 (* phi1 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi2))) lambda1)) (* 1/48 (sin (* -1/2 phi2))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi2))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))))))))
(/ (cos (* -1/2 phi2)) lambda1)
(+ (* 1/2 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)) (/ (cos (* -1/2 phi2)) lambda1))
(+ (* phi1 (+ (* -1/8 (/ (* phi1 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)))) (/ (cos (* -1/2 phi2)) lambda1))
(+ (* phi1 (+ (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)) (* phi1 (+ (* -1/8 (/ (cos (* -1/2 phi2)) lambda1)) (* -1/48 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)))))) (/ (cos (* -1/2 phi2)) lambda1))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (* 1/4 (/ (pow (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (* 1/4 (/ (pow (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (+ (* -1/16 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* -1/48 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (* 1/2 (/ (* (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))))) (- (+ 1 (+ (* -1/4 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (* 1/4 (/ (pow (+ (* -2 phi2) (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (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)))))))))))
(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))))))
(* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
(+ (* phi1 (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* phi1 (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* -1/4 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
(+ (* phi1 (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* -1/4 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) (* phi1 (+ (* -1/16 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* -1/48 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))))))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 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)))))))
(* 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)))))))
(cos (* -1/2 (+ phi1 phi2)))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(cos (* 1/2 (+ phi1 phi2)))
(* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
(* -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 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)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) lambda1)))))
(/ (cos (* -1/2 (- phi2 (* -1 phi1)))) lambda1)
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) phi1))) phi1)))))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* phi2 (* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) phi1))) phi1))) phi1)))))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 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 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(* R (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)))))))))))
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))))))
(* lambda2 (cos (* -1/2 phi1)))
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))
(+ (* -1 (* lambda1 (* phi2 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))))) (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))))))
(+ (* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) (* phi2 (+ (* -1 (* lambda1 (- (* -1/2 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* -1/2 (sin (* -1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda1 (* phi2 (- (* 1/48 (/ (* lambda2 (sin (* -1/2 phi1))) lambda1)) (* 1/48 (sin (* -1/2 phi1))))))) (* -1 (* lambda1 (+ (* -1/8 (cos (* -1/2 phi1))) (* 1/8 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))))))))
(/ (cos (* -1/2 phi1)) lambda1)
(+ (* 1/2 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)) (/ (cos (* -1/2 phi1)) lambda1))
(+ (* phi2 (+ (* -1/8 (/ (* phi2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)))) (/ (cos (* -1/2 phi1)) lambda1))
(+ (* phi2 (+ (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)) (* phi2 (+ (* -1/8 (/ (cos (* -1/2 phi1)) lambda1)) (* -1/48 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)))))) (/ (cos (* -1/2 phi1)) lambda1))
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* -1/2 (* phi2 (sin (* 1/2 (PI))))))
(+ (cos (* 1/2 (PI))) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 (PI))))) (* 1/2 (sin (* 1/2 (PI)))))))
(+ (cos (* 1/2 (PI))) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 (PI)))) (* 1/48 (* phi2 (sin (* 1/2 (PI))))))) (* 1/2 (sin (* 1/2 (PI)))))))
(sqrt (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))
(+ (sqrt (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(+ (sqrt (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))))) (* 1/4 (/ (pow (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) 2) (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))))
(+ (sqrt (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))) (- (+ 1 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))))) (* 1/4 (/ (pow (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) 2) (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/48 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))))))) (* 1/2 (/ (* (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) (- (+ 1 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))))) (* 1/4 (/ (pow (+ (* -2 phi1) (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) 2) (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 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)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
(+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))))
(+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))))))))) (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))))
(+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/48 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))))))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))))))))) (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 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)))))))
(* (cos (* -1/2 phi2)) (- lambda1 lambda2))
(* R phi2)
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
(cos (* 1/2 (+ phi2 (PI))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (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)))))
(* -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)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))))
(/ (cos (* -1/2 (- phi1 (* -1 phi2)))) lambda1)
(cos (* 1/2 (- (PI) (* -1 phi2))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) phi2))) phi2)))))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* phi1 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) phi2))) phi2))) phi2)))))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R)
(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)))
(* -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))))
(fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(fma.f64 R (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(fma.f64 (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 (*.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)))))))) (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)) (*.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))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(+ (* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) (* lambda2 (cos (* -1/2 (+ phi1 phi2)))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(/ (cos (* -1/2 (+ phi1 phi2))) lambda1)
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))
(+ (sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
(+ (sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))))
(fma.f64 (fma.f64 (*.f64 lambda1 (*.f64 (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (*.f64 (neg.f64 lambda2) lambda2) (/.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 lambda2) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (sqrt.f64 (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))
(+ (sqrt (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)) 3))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (*.f64 (neg.f64 lambda2) lambda2) (/.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (*.f64 (neg.f64 lambda2) lambda2) (/.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))))))) lambda1 (*.f64 (*.f64 (neg.f64 lambda2) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (sqrt.f64 (fma.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))
(* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))
(*.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(+ (* -2 (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (*.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(+ (* lambda1 (+ (* -2 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) lambda2) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) lambda1 (*.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 lambda2 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* lambda1 (cos (* -1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda1)) lambda1)
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (fma.f64 (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 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda1)
(* -1 (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda1 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* -1/2 (+ phi1 phi2)))) lambda1)))
(*.f64 (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda1)
(* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)
(* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))
(*.f64 (fma.f64 (neg.f64 (/.f64 lambda2 lambda1)) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1)
(* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 (/.f64 lambda2 lambda1)) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))))) lambda1)
(* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (+ (* 1/2 (* (/ (* lambda2 (pow (- phi1 phi2) 2)) (pow lambda1 3)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (/.f64 lambda2 lambda1) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1)))))) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1)
(* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))
(*.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda1)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) #s(literal -2 binary64) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (*.f64 lambda1 lambda1))
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda1)) (+ (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow lambda1 2)))))
(*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) #s(literal -2 binary64) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (*.f64 lambda1 lambda1)))) (*.f64 lambda1 lambda1))
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) lambda1)))
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 lambda2 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) 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) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda1)))
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda1) (-.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) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) lambda1) (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)) lambda1)))
(* -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 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))
(*.f64 (neg.f64 lambda1) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(* -1 (* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda2 lambda1) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 (/.f64 lambda2 lambda1)) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
(* -1 (* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1/2 (* (/ (pow (- phi1 phi2) 2) lambda1) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)) lambda1)))
(* -1 (* lambda1 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (pow (- phi1 phi2) 2))) (* 1/2 (* (/ (* lambda2 (pow (- phi1 phi2) 2)) lambda1) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))) lambda1)) (* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (-.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))) lambda1)) lambda1)))
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda2 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda1)) (* 2 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda1)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(*.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (fma.f64 (*.f64 (neg.f64 lambda2) lambda2) (/.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (*.f64 (*.f64 #s(literal 2 binary64) lambda2) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1)) (*.f64 lambda1 lambda1))
(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)))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(fma.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.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)))))))) (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)) (*.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) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))
(+ (sqrt (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
(+ (sqrt (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))))
(fma.f64 (fma.f64 (*.f64 lambda2 (*.f64 (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (*.f64 (neg.f64 lambda1) lambda1) (/.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 lambda1) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (sqrt.f64 (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))
(+ (sqrt (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (- (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) 2))) (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow (- phi1 phi2) 2)) 3))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (*.f64 (neg.f64 lambda1) lambda1) (/.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (*.f64 (neg.f64 lambda1) lambda1) (/.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))))))) lambda2 (*.f64 (*.f64 (neg.f64 lambda1) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (sqrt.f64 (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))
(+ (* -2 (* lambda1 (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (*.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(+ (* lambda2 (+ (* -2 (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) lambda2 (*.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 lambda1 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))) lambda2)
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda2)) lambda2)
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2)
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda2)
(* lambda2 (+ (cos (* -1/2 (+ phi1 phi2))) (* -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 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)
(* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))
(*.f64 (fma.f64 (neg.f64 (/.f64 lambda1 lambda2)) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda2)
(* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 (/.f64 lambda1 lambda2)) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))))) lambda2)
(* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (+ (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) (+ (* 1/2 (* (/ (* lambda1 (pow (- phi1 phi2) 2)) (pow lambda2 3)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* 1/2 (* (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (/.f64 lambda1 lambda2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) (*.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))))))) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda2)
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(*.f64 (fma.f64 (*.f64 lambda1 (/.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) #s(literal -2 binary64) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (*.f64 lambda2 lambda2))
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda2)) (+ (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))) (/ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (pow lambda2 2)))))
(*.f64 (fma.f64 (*.f64 lambda1 (/.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) #s(literal -2 binary64) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (*.f64 lambda2 lambda2)))) (*.f64 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)))
(* -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 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 lambda1 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (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 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda2)))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda2) (-.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 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) R) lambda2) (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)) lambda2)))
(* -1 (* lambda2 (+ (* -1 (cos (* -1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* -1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (neg.f64 lambda2) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
(* -1 (* lambda2 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))
(*.f64 (neg.f64 lambda2) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(* -1 (* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (* (/ lambda1 lambda2) (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 (/.f64 lambda1 lambda2)) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
(* -1 (* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1/2 (* (/ (pow (- phi1 phi2) 2) lambda2) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))))) (* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda2)))))
(*.f64 (neg.f64 lambda2) (-.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)) lambda2)))
(* -1 (* lambda2 (+ (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1))))))) (pow (- phi1 phi2) 2))) (* 1/2 (* (/ (* lambda1 (pow (- phi1 phi2) 2)) lambda2) (sqrt (/ 1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))))) lambda2)) (* lambda1 (sqrt (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda2)))))
(*.f64 (neg.f64 lambda2) (-.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))) lambda2)) lambda2)))
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda1 2) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))) lambda2)) (* 2 (* lambda1 (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))) lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))))))
(*.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) lambda1) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (*.f64 (neg.f64 lambda1) lambda1) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)) lambda2)) (*.f64 lambda2 lambda2))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))))
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(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R)
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R phi1) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal -2 binary64) phi2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R))
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))))
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(* lambda2 (cos (* -1/2 phi2)))
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(/ (cos (* -1/2 phi2)) lambda1)
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(+ (* phi1 (+ (* -1/8 (/ (* phi1 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)))) (/ (cos (* -1/2 phi2)) lambda1))
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(+ (* phi1 (+ (* 1/2 (/ (sin (* -1/2 phi2)) lambda1)) (* phi1 (+ (* -1/8 (/ (cos (* -1/2 phi2)) lambda1)) (* -1/48 (/ (* phi1 (sin (* -1/2 phi2))) lambda1)))))) (/ (cos (* -1/2 phi2)) lambda1))
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(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))))))
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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)))
(+ (* phi1 (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
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(+ (* phi1 (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* -1/4 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
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(+ (* phi1 (+ (* -1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* -1/4 (* (cos (* 1/2 (+ phi2 (PI)))) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* -1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) (* phi1 (+ (* -1/16 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* -1/48 (* (cos (* 1/2 phi2)) (* (cos (* 1/2 (+ phi2 (PI)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))))))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
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phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1)
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(*.f64 (+.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)) #s(literal 1 binary64)) phi1)
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 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)))) (/.f64 (neg.f64 phi2) phi1)) #s(literal 1 binary64)) 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 (+.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 R) (/.f64 phi2 phi1))) R) phi1)
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) (*.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))))))) R) phi1)
(cos (* -1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (*.f64 phi1 phi1))) phi1)
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 #s(literal 1/2 binary64) (fma.f64 phi2 (/.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) phi1) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1))))) phi1)
(cos (* 1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(*.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)) phi1)) #s(literal -1/2 binary64) phi2) phi1)) (neg.f64 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)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi2 (/.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 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1))))) phi1)) phi1)) (neg.f64 phi1))
(* -1 (* R phi1))
(*.f64 (neg.f64 R) phi1)
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (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)))))
(*.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)) phi1))) #s(literal -1/2 binary64) (*.f64 R phi2)) phi1)) (neg.f64 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)))))
(*.f64 (-.f64 R (/.f64 (-.f64 (*.f64 R phi2) (/.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 R 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)))) phi1))) phi1)) phi1)) (neg.f64 phi1))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi2 (* -1 phi1)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) 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)))))
(/ (cos (* -1/2 (- phi2 (* -1 phi1)))) lambda1)
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) phi1))) phi1)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) phi1) #s(literal -1/2 binary64) phi2) phi1)) (neg.f64 phi1))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* phi2 (* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) phi1))) phi1))) phi1)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi2 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.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) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) phi1))) phi1)) phi1)) (neg.f64 phi1))
(cos (* 1/2 (- phi2 (* -1 phi1))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* (cos (* 1/2 (- phi2 (* -1 phi1)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
(+ (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)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) phi2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
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(- lambda1 lambda2)
(-.f64 lambda1 lambda2)
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2)
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2)
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2)
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) (*.f64 #s(literal 1/384 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2)
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R)
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))
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(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
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(+ (* 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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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 #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)))
(* lambda2 (cos (* -1/2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2)
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
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(/ (cos (* -1/2 phi1)) lambda1)
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1)
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(+ (* phi2 (+ (* -1/8 (/ (* phi2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)))) (/ (cos (* -1/2 phi1)) lambda1))
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(+ (* phi2 (+ (* 1/2 (/ (sin (* -1/2 phi1)) lambda1)) (* phi2 (+ (* -1/8 (/ (cos (* -1/2 phi1)) lambda1)) (* -1/48 (/ (* phi2 (sin (* -1/2 phi1))) lambda1)))))) (/ (cos (* -1/2 phi1)) lambda1))
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(cos (* 1/2 (PI)))
(cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (cos (* 1/2 (PI))) (* -1/2 (* phi2 (sin (* 1/2 (PI))))))
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(+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1))))))
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(* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))
(+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))))) (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi2 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))))))))) (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/8 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) phi2)) phi2 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(+ (* phi2 (+ (* -1/2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/4 (* (pow (sin (* 1/2 phi1)) 2) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2)))) (+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/48 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/48 (* (sin (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/16 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (* (sin (* 1/2 (PI))) (pow (- lambda1 lambda2) 2))))))))) (* (cos (* 1/2 phi1)) (* (+ (* -1/8 (cos (* 1/2 phi1))) (* -1/8 (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)))))))))) (* (cos (* 1/2 phi1)) (* (+ (cos (* 1/2 phi1)) (* (cos (* 1/2 (PI))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/8 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/48 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))) phi2)))) phi2)) 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 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2)
(* (cos (* -1/2 phi2)) (- lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(* 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 (+.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 (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 (+.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (*.f64 #s(literal 1/2 binary64) (fma.f64 R (*.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) R) phi2)
(cos (* 1/2 (+ phi2 (PI))))
(cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64)))
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (*.f64 phi2 phi2))) phi2)
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* (cos (* 1/2 (+ phi1 phi2))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (+ phi2 (PI)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) phi2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) 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 (-.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 (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 (* R phi2))
(*.f64 (neg.f64 R) phi2)
(* -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 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2)) (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 (-.f64 (*.f64 R phi1) (/.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 R phi1) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) phi2))) phi2)) phi2)) (neg.f64 phi2))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* -1 (* lambda1 (+ (cos (* -1/2 (- phi1 (* -1 phi2)))) (* -1 (/ (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) lambda1)))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(/ (cos (* -1/2 (- phi1 (* -1 phi2)))) lambda1)
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(cos (* 1/2 (- (PI) (* -1 phi2))))
(cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64)))
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) phi2))) phi2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (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 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* phi1 (* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (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 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.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) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) phi2))) phi2)) phi2)) (neg.f64 phi2))
(cos (* 1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (* (+ (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 (- (PI) (* -1 phi2)))) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2)))
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))

rewrite210.0ms (2.6%)

Memory
10.6MiB live, 239.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061430
0105351
1400304
24047303
08630263
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 367
Calls
Call 1
Inputs
#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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))
(*.f64 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)
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))))
Outputs
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2)))
(fma.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+.f64 (*.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) R)
(neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 1 binary64)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi2)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) phi2)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 1 binary64)))
#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)
(*.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(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))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2))
(*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))))
(/.f64 (+.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)) (PI.f64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))
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(*.f64 lambda2 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)) R)
(*.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 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1) (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (neg.f64 lambda1)))
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(*.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)))))
(*.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (fabs.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (-.f64 lambda1 lambda2)) (fabs.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))
(*.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 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (-.f64 lambda1 lambda2))
(*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))) (fabs.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))
(*.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))) (-.f64 lambda1 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))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(*.f64 (-.f64 lambda1 lambda2) (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (-.f64 lambda1 lambda2) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)))
(pow.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.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 2 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))
(neg.f64 (*.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))))
(fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (-.f64 lambda1 lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)))) #s(literal 2 binary64)))
(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 (cosh.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (sinh.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 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))) (*.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (-.f64 lambda1 lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))

eval139.0ms (1.7%)

Memory
17.0MiB live, 184.6MiB allocated
Compiler

Compiled 46 581 to 3 699 computations (92.1% saved)

prune79.0ms (1%)

Memory
2.5MiB live, 87.3MiB allocated
Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New64234676
Fresh6511
Picked325
Done000
Total65141692
Accuracy
97.8%
Counts
692 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
57.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) phi2)))
67.3%
(*.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 lambda1 lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) phi2)))) phi2)))
✓72.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2)))
▶71.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
67.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)))
51.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
22.4%
(*.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 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))))
26.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 lambda2 (/.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (neg.f64 lambda1)) (fma.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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)) lambda1)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)) lambda1) #s(literal 2 binary64))))))
22.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda2)))
22.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2)))
16.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (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)))
50.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))))
50.6%
(*.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)))
19.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (+.f64 (PI.f64) phi2)))) lambda2)))
14.7%
(*.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) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
38.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))
38.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))))
37.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 (+.f64 (PI.f64) phi2)))))))))
38.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))))
35.1%
(*.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) (fma.f64 (neg.f64 lambda2) (/.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
39.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
23.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
9.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
▶22.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
20.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
23.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2)))
▶23.4%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
23.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))
22.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
✓32.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
29.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 lambda1 phi1) (fma.f64 #s(literal 1/8 binary64) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) lambda1))) phi1 (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))
15.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda1)) lambda1))
51.7%
#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))
53.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
21.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
▶9.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
21.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda2))))
42.4%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda1))))
▶29.5%
#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 4 252 to 2 349 computations (44.8% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize325.0ms (4%)

Memory
3.9MiB live, 276.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
accuracy0.1796875
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2)
accuracy28.05180459659798
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
accuracy51.11573877798806
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2))
accuracy0.07421875
(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)))
accuracy0.1796875
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2)
accuracy28.669214208874127
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
accuracy51.11573877798806
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
accuracy0.17578125
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
accuracy11.408222318042354
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
accuracy57.59115820575422
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
accuracy0.0
(*.f64 R phi2)
accuracy45.11901126450127
#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) phi1))
accuracy0.05078125
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
accuracy0.1328125
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
accuracy22.841034857610815
#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
211.0ms183×1valid
22.0ms72×0valid
1.0ms1×3valid
Compiler

Compiled 1 115 to 102 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-cos: 54.0ms (31.5% of total)
ival-mult: 39.0ms (22.7% of total)
ival-sin: 35.0ms (20.4% of total)
adjust: 13.0ms (7.6% of total)
ival-hypot: 13.0ms (7.6% of total)
ival-add: 10.0ms (5.8% of total)
ival-div: 3.0ms (1.7% of total)
ival-sub: 3.0ms (1.7% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series118.0ms (1.5%)

Memory
-9.4MiB live, 102.1MiB allocated
Counts
18 → 161
Calls
Call 1
Inputs
#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 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R 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 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 #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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2)
(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)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2)))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R phi2)
(* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(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))))))))))
(* -1 (* lambda2 (cos (* -1/2 phi1))))
(+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
(* 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))))
(* 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))))))))
(* -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 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda2 (cos (* -1/2 phi1))) 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)))))))
(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))))))))))
(* 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)))))))))))
(* lambda2 (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 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) 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))))))))
(* -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 (* 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)))))))
(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 (* -1/8 (* (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 (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)))))))))))
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 (* lambda1 (cos (* -1/2 phi2))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2)))))) (* R (* lambda1 (cos (* -1/2 phi2)))))
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (* -1/2 phi2)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2))))))))
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi2))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2)))))))))))
(* -1/2 phi2)
(+ (* -1/2 phi1) (* -1/2 phi2))
(* lambda2 (cos (* -1/2 phi2)))
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(cos (* 1/2 phi2))
(+ (cos (* 1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
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)))))))
(* (cos (* -1/2 phi1)) (- lambda1 lambda2))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(cos (* -1/2 phi1))
(cos (* -1/2 (+ phi1 phi2)))
(* -1/2 phi1)
(* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2))
(* 1/2 (* phi1 (sin (* -1/2 phi2))))
(* phi1 (+ (* 1/2 (sin (* -1/2 phi2))) (/ (cos (* 1/2 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 (* 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)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* R (* lambda1 (cos (* -1/2 (- phi2 (* -1 phi1))))))
(* -1 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1)))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(* -1 (* phi1 (+ (* -1 (/ (cos (* 1/2 phi2)) phi1)) (* -1/2 (sin (* -1/2 phi2))))))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
(* R (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)))))))))))
(+ (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))))))
(* R (* lambda1 (cos (* -1/2 phi1))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1)))))) (* R (* lambda1 (cos (* -1/2 phi1)))))
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (* -1/2 phi1)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1))))))))
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi1))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1)))))))))))
(* lambda2 (cos (* -1/2 phi1)))
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(+ 1 (* -1/4 (* phi1 phi2)))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* -1/8 phi2))))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* phi2 (- (* 1/96 (* phi1 phi2)) 1/8)))))
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 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
(* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2))
(* -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)))))
(* -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)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* R (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2))))))
(* -1 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2)))))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
Calls

15 calls:

TimeVariablePointExpression
34.0ms
R
@inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi1)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* -1/2 (+ phi2 phi1)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
30.0ms
phi1
@inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi1)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* -1/2 (+ phi2 phi1)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
14.0ms
phi2
@inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi1)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* -1/2 (+ phi2 phi1)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
6.0ms
phi2
@-inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi1)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* -1/2 (+ phi2 phi1)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
4.0ms
phi1
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 phi1)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* -1/2 (+ phi2 phi1))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* -1/2 (+ phi2 phi1)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))

simplify269.0ms (3.3%)

Memory
1.9MiB live, 244.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08736639
133056156
083195713
Stop Event
1×iter limit
1×node limit
Counts
161 → 159
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R phi2)
(* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(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))))))))))
(* -1 (* lambda2 (cos (* -1/2 phi1))))
(+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1))))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
(* 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))))
(* 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))))))))
(* -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 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda2 (cos (* -1/2 phi1))) 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)))))))
(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))))))))))
(* 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)))))))))))
(* lambda2 (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 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) 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))))))))
(* -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 (* 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)))))))
(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 (* -1/8 (* (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 (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)))))))))))
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 (* lambda1 (cos (* -1/2 phi2))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2)))))) (* R (* lambda1 (cos (* -1/2 phi2)))))
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (* -1/2 phi2)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2))))))))
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi2))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2)))))))))))
(* -1/2 phi2)
(+ (* -1/2 phi1) (* -1/2 phi2))
(* lambda2 (cos (* -1/2 phi2)))
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(cos (* 1/2 phi2))
(+ (cos (* 1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
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)))))))
(* (cos (* -1/2 phi1)) (- lambda1 lambda2))
(* R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(cos (* -1/2 phi1))
(cos (* -1/2 (+ phi1 phi2)))
(* -1/2 phi1)
(* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2))
(* 1/2 (* phi1 (sin (* -1/2 phi2))))
(* phi1 (+ (* 1/2 (sin (* -1/2 phi2))) (/ (cos (* 1/2 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 (* 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)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* R (* lambda1 (cos (* -1/2 (- phi2 (* -1 phi1))))))
(* -1 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1)))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(* -1 (* phi1 (+ (* -1 (/ (cos (* 1/2 phi2)) phi1)) (* -1/2 (sin (* -1/2 phi2))))))
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
(* R (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)))))))))))
(+ (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))))))
(* R (* lambda1 (cos (* -1/2 phi1))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1)))))) (* R (* lambda1 (cos (* -1/2 phi1)))))
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (* -1/2 phi1)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1))))))))
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi1))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1)))))))))))
(* lambda2 (cos (* -1/2 phi1)))
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(+ 1 (* -1/4 (* phi1 phi2)))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* -1/8 phi2))))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* phi2 (- (* 1/96 (* phi1 phi2)) 1/8)))))
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 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
(* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2))
(* -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)))))
(* -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)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* R (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2))))))
(* -1 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2)))))
(* lambda2 (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 R phi2)
(* R (* lambda1 (cos (* -1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(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)))
(* -1 (* lambda2 (cos (* -1/2 phi1))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
(+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(fma.f64 R (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.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 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))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)
(* lambda1 (cos (* -1/2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)
(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))) lambda1)
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 R (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))) lambda1)
(* -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 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))
(*.f64 (neg.f64 lambda1) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))))
(* -1 (* 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) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda1) (-.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) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))) (neg.f64 lambda1))) (neg.f64 lambda1))))
(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)))
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(fma.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.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))
(* 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))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)
(* lambda2 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)))
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))) lambda2)
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2)
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2)))) lambda2)
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 R (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (/.f64 R (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2)))) lambda2)
(* -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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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow phi1 2)))
(fma.f64 (*.f64 phi1 phi1) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 phi1 phi1) #s(literal -1/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64))
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi1 phi1) #s(literal 1/384 binary64)) (*.f64 phi1 phi1) #s(literal -1/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64))
(cos (* -1/2 phi2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (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 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal -1/8 binary64))) 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 (* lambda1 (cos (* -1/2 phi2))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2)))))) (* R (* lambda1 (cos (* -1/2 phi2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (* -1/2 phi2)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/2 binary64))) phi1 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi2))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda1 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal -1/8 binary64))) phi1)) phi1 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(* -1/2 phi2)
(*.f64 #s(literal -1/2 binary64) phi2)
(+ (* -1/2 phi1) (* -1/2 phi2))
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))
(* lambda2 (cos (* -1/2 phi2)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(fma.f64 (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) (*.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2))
(cos (* 1/2 phi2))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))
(+ (cos (* 1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
phi1
(* phi1 (+ 1 (* -1 (/ phi2 phi1))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1)
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi2) phi1)) phi1 phi1)
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) phi1) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1) (*.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) phi1)
(* (cos (* -1/2 phi1)) (- lambda1 lambda2))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(* R phi1)
(*.f64 R phi1)
(* phi1 (+ R (* -1 (/ (* R phi2) phi1))))
(*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) phi1)
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))
(*.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) #s(literal 1/2 binary64) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))) phi1)
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) (fma.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) R)) phi1)
(cos (* -1/2 phi1))
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))
(cos (* -1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* -1/2 phi1)
(*.f64 #s(literal -1/2 binary64) phi1)
(* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2))
(*.f64 (fma.f64 (/.f64 phi2 phi1) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) phi1)
(* 1/2 (* phi1 (sin (* -1/2 phi2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(* phi1 (+ (* 1/2 (sin (* -1/2 phi2))) (/ (cos (* 1/2 phi2)) phi1)))
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1)) phi1)
(* -1 phi1)
(neg.f64 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(*.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)) phi1)) #s(literal -1/2 binary64) phi2) phi1)) (neg.f64 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)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi2 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)) (*.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))))) phi1)) phi1)) (neg.f64 phi1))
(* -1 (* R phi1))
(*.f64 (neg.f64 R) phi1)
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 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)))))
(*.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)) phi1))) #s(literal -1/2 binary64) (*.f64 R phi2)) phi1)) (neg.f64 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)))))
(*.f64 (-.f64 R (/.f64 (fma.f64 R phi2 (/.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 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)))))) (neg.f64 phi1))) phi1)) (neg.f64 phi1))
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(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (* -1/2 phi1)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda1 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/2 binary64))) phi2 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi1))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda1 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal -1/8 binary64))) phi2)) phi2 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(* lambda2 (cos (* -1/2 phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(fma.f64 (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) phi2) (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) phi2) (*.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2))
(+ 1 (* -1/4 (* phi1 phi2)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* -1/8 phi2))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* phi2 (- (* 1/96 (* phi1 phi2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1) #s(literal -1/8 binary64)) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64))
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 (/ (* 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 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) (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 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) R)) phi2)
(* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2))
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) 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 (* R phi2))
(*.f64 (neg.f64 R) phi2)
(* -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 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2)) (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 (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))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* R (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2))))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2)))))
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 phi2))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)

rewrite186.0ms (2.3%)

Memory
13.3MiB live, 168.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056481
089404
1300404
22653404
08192369
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 169
Calls
Call 1
Inputs
#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 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R 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 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(*.f64 #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 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2)
(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)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2)))
Outputs
#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 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (sqrt.f64 (-.f64 lambda1 lambda2)))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))) (sqrt.f64 (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1))))
(*.f64 (sqrt.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (sqrt.f64 (fabs.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))) (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 lambda1 lambda2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (sqrt.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 lambda1 lambda2)) (sqrt.f64 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 1 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 (-.f64 lambda2 lambda1)))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2))
(pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (fabs.f64 (+.f64 lambda2 lambda1)))
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(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1)
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) R)
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda2)
(*.f64 lambda2 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64))) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64))))
(fma.f64 (*.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)))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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)))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal 1/2 binary64) phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(fma.f64 phi1 (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64))))))
(-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 #s(literal 1/2 binary64) phi1)))
(-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 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)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 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))))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 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)))) lambda2)
(*.f64 lambda2 #s(approx (cos (* -1/2 (+ phi2 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)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)) R)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))

eval101.0ms (1.2%)

Memory
5.8MiB live, 126.2MiB allocated
Compiler

Compiled 23 004 to 1 975 computations (91.4% saved)

prune66.0ms (0.8%)

Memory
7.9MiB live, 85.5MiB allocated
Pruning

49 alts after pruning (45 fresh and 4 done)

PrunedKeptTotal
New34316359
Fresh52934
Picked325
Done022
Total35149400
Accuracy
98.7%
Counts
400 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
57.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) phi2)))
67.3%
(*.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 lambda1 lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) phi2)))) phi2)))
✓72.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2)))
▶71.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1)))) phi1)))
66.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1))) (-.f64 lambda1 lambda2)) phi1)))
67.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)))
51.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
66.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
54.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
22.4%
(*.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 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))))
26.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 lambda2 (/.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (neg.f64 lambda1)) (fma.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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)) lambda1)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)) lambda1) #s(literal 2 binary64))))))
22.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 phi1 phi2))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda2)))
22.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2)))
16.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (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)))
50.6%
(*.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)))
19.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (+.f64 (PI.f64) phi2)))) lambda2)))
14.7%
(*.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) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
38.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))
38.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))))
38.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))))
35.1%
(*.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) (fma.f64 (neg.f64 lambda2) (/.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
39.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
9.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
19.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (*.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)))) lambda2)))
▶20.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
23.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2)))
✓23.4%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
23.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))
▶22.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
25.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1) #s(literal -1/8 binary64)) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
21.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
▶23.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
✓32.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
29.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 lambda1 phi1) (fma.f64 #s(literal 1/8 binary64) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) lambda1))) phi1 (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))
51.7%
#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))
53.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
9.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
10.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
8.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
▶8.8%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))))
21.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
7.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2)))))
7.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1)))))
14.7%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
23.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
21.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda2))))
✓29.5%
#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 4 988 to 2 794 computations (44% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize317.0ms (3.9%)

Memory
-19.9MiB live, 224.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
accuracy0.1796875
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)
accuracy29.642244034985627
#s(approx (cos (* -1/2 (+ phi2 phi1))) (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))))
accuracy51.11573877798806
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2))
accuracy0.01171875
(+.f64 (+.f64 phi2 phi1) (PI.f64))
accuracy0.17578125
(*.f64 (*.f64 R lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64))))
accuracy41.49044546561416
(sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))
accuracy57.59115820575422
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))))
accuracy0.05078125
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
accuracy0.1796875
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)
accuracy25.94766149221136
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
accuracy51.11573877798806
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2))
accuracy0.1796875
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)
accuracy27.07310550035789
#s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))
accuracy28.669214208874127
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64))))
accuracy51.11573877798806
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2))
accuracy0.12109375
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))
accuracy0.234375
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))
accuracy0.4296875
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1))))
accuracy22.841034857610815
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1)))) phi1))
Samples
190.0ms186×1valid
51.0ms69×0valid
1.0ms1×3valid
Compiler

Compiled 1 454 to 138 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-mult: 52.0ms (26.9% of total)
ival-cos: 38.0ms (19.7% of total)
ival-sin: 30.0ms (15.5% of total)
adjust: 17.0ms (8.8% of total)
ival-add: 13.0ms (6.7% of total)
ival-hypot: 13.0ms (6.7% of total)
ival-sub: 12.0ms (6.2% of total)
ival-div: 6.0ms (3.1% of total)
ival-sqrt: 4.0ms (2.1% of total)
ival-pow2: 4.0ms (2.1% of total)
ival-pi: 1.0ms (0.5% of total)
ival-fabs: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory
-2.6MiB live, 73.6MiB allocated
Counts
20 → 174
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1)))) phi1))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64))))
#s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))))
(sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 R lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64))))
(+.f64 (+.f64 phi2 phi1) (PI.f64))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (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))))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
Outputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R (* lambda1 (sin (* 1/2 (+ phi1 (+ phi2 (PI)))))))
(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))))))))))
(* (cos (* 1/2 phi1)) (fabs (- lambda2 lambda1)))
(* (pow (cos (* 1/2 phi1)) 2) (fabs (- lambda2 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)))))))))))
(* 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))))))))))
(* 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))))))))
(* -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)))))
(* (cos (* 1/2 phi1)) (fabs (+ lambda2 (* -1 lambda1))))
(* (pow (cos (* 1/2 phi1)) 2) (fabs (+ lambda2 (* -1 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)))))))
(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))))))))))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(* 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)))))))))))
(* 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))))))))))
(* 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))))))))
(* -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)))))
(* (cos (* 1/2 phi1)) (fabs (neg (+ lambda1 (* -1 lambda2)))))
(* (pow (cos (* 1/2 phi1)) 2) (fabs (neg (+ lambda1 (* -1 lambda2)))))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(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)))))))))))
(fabs (- lambda2 lambda1))
(+ (fabs (- lambda2 lambda1)) (* -1/8 (* (pow phi1 2) (fabs (- lambda2 lambda1)))))
(+ (fabs (- lambda2 lambda1)) (* (pow phi1 2) (+ (* -1/8 (fabs (- lambda2 lambda1))) (* 1/384 (* (pow phi1 2) (fabs (- lambda2 lambda1)))))))
(+ (fabs (- lambda2 lambda1)) (* (pow phi1 2) (+ (* -1/8 (fabs (- lambda2 lambda1))) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (fabs (- lambda2 lambda1)))) (* 1/384 (fabs (- lambda2 lambda1))))))))
1
(+ 1 (* -1/4 (pow phi1 2)))
(+ 1 (* (pow phi1 2) (- (* 1/48 (pow phi1 2)) 1/4)))
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/48 (* -1/1440 (pow phi1 2)))) 1/4)))
(+ (fabs (- lambda2 lambda1)) (* -1/4 (* (pow phi1 2) (fabs (- lambda2 lambda1)))))
(+ (fabs (- lambda2 lambda1)) (* (pow phi1 2) (+ (* -1/4 (fabs (- lambda2 lambda1))) (* 1/48 (* (pow phi1 2) (fabs (- lambda2 lambda1)))))))
(+ (fabs (- lambda2 lambda1)) (* (pow phi1 2) (+ (* -1/4 (fabs (- lambda2 lambda1))) (* (pow phi1 2) (+ (* -1/1440 (* (pow phi1 2) (fabs (- lambda2 lambda1)))) (* 1/48 (fabs (- lambda2 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))))))
(cos (* 1/2 phi2))
(+ (cos (* 1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
(* lambda2 (cos (* -1/2 phi2)))
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(* 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)))))))))))
(sin (* 1/2 (+ phi2 (PI))))
(+ (sin (* 1/2 (+ phi2 (PI)))) (* 1/2 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))
(+ (sin (* 1/2 (+ phi2 (PI)))) (* phi1 (+ (* -1/8 (* phi1 (sin (* 1/2 (+ phi2 (PI)))))) (* 1/2 (cos (* 1/2 (+ phi2 (PI))))))))
(+ (sin (* 1/2 (+ phi2 (PI)))) (* phi1 (+ (* 1/2 (cos (* 1/2 (+ phi2 (PI))))) (* phi1 (+ (* -1/8 (sin (* 1/2 (+ phi2 (PI))))) (* -1/48 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))))))
(* R (* lambda1 (sin (* 1/2 (+ phi2 (PI))))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))) (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI)))))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI)))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (sin (* 1/2 (+ phi2 (PI)))))))) (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi2 (PI))))))))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI)))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi2 (PI))))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI))))))) (* -1/48 (* R (* lambda1 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))))))))
(+ phi2 (PI))
(+ phi1 (+ phi2 (PI)))
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 (cos (* 1/2 phi1)) 2)
(cos (* -1/2 (+ phi1 phi2)))
(* 1/2 (* phi1 (sin (* -1/2 phi2))))
(* phi1 (+ (* 1/2 (sin (* -1/2 phi2))) (/ (cos (* 1/2 phi2)) phi1)))
(* 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)))))))
(sin (* 1/2 (+ phi1 (+ phi2 (PI)))))
(* phi1 (+ 1 (+ (/ phi2 phi1) (/ (PI) 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)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* -1 (* phi1 (+ (* -1 (/ (cos (* 1/2 phi2)) phi1)) (* -1/2 (sin (* -1/2 phi2))))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 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)))))
(sin (* 1/2 (- (+ phi2 (PI)) (* -1 phi1))))
(* R (* lambda1 (sin (* 1/2 (- (+ phi2 (PI)) (* -1 phi1))))))
(* -1 (* phi1 (- (* -1 (/ (+ phi2 (PI)) phi1)) 1)))
(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)))))))))))
(cos (* -1/2 phi1))
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1))))))
(+ 1 (* -1/4 (* phi1 phi2)))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* -1/8 phi2))))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* phi2 (- (* 1/96 (* phi1 phi2)) 1/8)))))
(* lambda2 (cos (* -1/2 phi1)))
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(* 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)))))))))))
(sin (* 1/2 (+ phi1 (PI))))
(+ (sin (* 1/2 (+ phi1 (PI)))) (* 1/2 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))
(+ (sin (* 1/2 (+ phi1 (PI)))) (* phi2 (+ (* -1/8 (* phi2 (sin (* 1/2 (+ phi1 (PI)))))) (* 1/2 (cos (* 1/2 (+ phi1 (PI))))))))
(+ (sin (* 1/2 (+ phi1 (PI)))) (* phi2 (+ (* 1/2 (cos (* 1/2 (+ phi1 (PI))))) (* phi2 (+ (* -1/8 (sin (* 1/2 (+ phi1 (PI))))) (* -1/48 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))))))
(* R (* lambda1 (sin (* 1/2 (+ phi1 (PI))))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))) (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI)))))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI)))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (sin (* 1/2 (+ phi1 (PI)))))))) (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi1 (PI))))))))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI)))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi1 (PI))))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI))))))) (* -1/48 (* R (* lambda1 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))))))))
(+ phi1 (PI))
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)))))))
(* R phi2)
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
(* phi2 (+ 1 (+ (/ phi1 phi2) (/ (PI) 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)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 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)))))
(sin (* 1/2 (- (+ phi1 (PI)) (* -1 phi2))))
(* R (* lambda1 (sin (* 1/2 (- (+ phi1 (PI)) (* -1 phi2))))))
(* -1 (* phi2 (- (* -1 (/ (+ phi1 (PI)) phi2)) 1)))
Calls

15 calls:

TimeVariablePointExpression
7.0ms
lambda1
@-inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (sqrt (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2))) (sqrt (fabs (- lambda2 lambda1)))) (pow (cos (* 1/2 phi1)) 2) (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* 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))))) (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (* (* R lambda1) (sin (/ (+ (+ phi2 phi1) (PI)) 2))) (+ (+ phi2 phi1) (PI)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
4.0ms
phi1
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (sqrt (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2))) (sqrt (fabs (- lambda2 lambda1)))) (pow (cos (* 1/2 phi1)) 2) (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* 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))))) (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (* (* R lambda1) (sin (/ (+ (+ phi2 phi1) (PI)) 2))) (+ (+ phi2 phi1) (PI)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
3.0ms
R
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (sqrt (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2))) (sqrt (fabs (- lambda2 lambda1)))) (pow (cos (* 1/2 phi1)) 2) (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* 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))))) (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (* (* R lambda1) (sin (/ (+ (+ phi2 phi1) (PI)) 2))) (+ (+ phi2 phi1) (PI)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
3.0ms
lambda1
@0
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (sqrt (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2))) (sqrt (fabs (- lambda2 lambda1)))) (pow (cos (* 1/2 phi1)) 2) (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* 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))))) (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (* (* R lambda1) (sin (/ (+ (+ phi2 phi1) (PI)) 2))) (+ (+ phi2 phi1) (PI)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
3.0ms
phi1
@-inf
((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (sqrt (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2))) (sqrt (fabs (- lambda2 lambda1)))) (pow (cos (* 1/2 phi1)) 2) (* (fabs (- lambda2 lambda1)) (pow (cos (* 1/2 phi1)) 2)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* 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))))) (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (* (* R lambda1) (sin (/ (+ (+ phi2 phi1) (PI)) 2))) (+ (+ phi2 phi1) (PI)) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cos (* -1/2 (+ phi2 phi1))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))

simplify200.0ms (2.5%)

Memory
19.6MiB live, 175.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09366938
135146475
081436022
Stop Event
1×iter limit
1×node limit
Counts
174 → 172
Calls
Call 1
Inputs
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2))))
(* R (* lambda1 (sin (* 1/2 (+ phi1 (+ phi2 (PI)))))))
(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))))))))))
(* (cos (* 1/2 phi1)) (fabs (- lambda2 lambda1)))
(* (pow (cos (* 1/2 phi1)) 2) (fabs (- lambda2 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)))))))))))
(* 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))))))))))
(* 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))))))))
(* -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)))))
(* (cos (* 1/2 phi1)) (fabs (+ lambda2 (* -1 lambda1))))
(* (pow (cos (* 1/2 phi1)) 2) (fabs (+ lambda2 (* -1 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)))))))
(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))))))))))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(* 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)))))))))))
(* 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))))))))))
(* 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))))))))
(* -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)))))
(* (cos (* 1/2 phi1)) (fabs (neg (+ lambda1 (* -1 lambda2)))))
(* (pow (cos (* 1/2 phi1)) 2) (fabs (neg (+ lambda1 (* -1 lambda2)))))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(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)))))))))))
(fabs (- lambda2 lambda1))
(+ (fabs (- lambda2 lambda1)) (* -1/8 (* (pow phi1 2) (fabs (- lambda2 lambda1)))))
(+ (fabs (- lambda2 lambda1)) (* (pow phi1 2) (+ (* -1/8 (fabs (- lambda2 lambda1))) (* 1/384 (* (pow phi1 2) (fabs (- lambda2 lambda1)))))))
(+ (fabs (- lambda2 lambda1)) (* (pow phi1 2) (+ (* -1/8 (fabs (- lambda2 lambda1))) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (fabs (- lambda2 lambda1)))) (* 1/384 (fabs (- lambda2 lambda1))))))))
1
(+ 1 (* -1/4 (pow phi1 2)))
(+ 1 (* (pow phi1 2) (- (* 1/48 (pow phi1 2)) 1/4)))
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/48 (* -1/1440 (pow phi1 2)))) 1/4)))
(+ (fabs (- lambda2 lambda1)) (* -1/4 (* (pow phi1 2) (fabs (- lambda2 lambda1)))))
(+ (fabs (- lambda2 lambda1)) (* (pow phi1 2) (+ (* -1/4 (fabs (- lambda2 lambda1))) (* 1/48 (* (pow phi1 2) (fabs (- lambda2 lambda1)))))))
(+ (fabs (- lambda2 lambda1)) (* (pow phi1 2) (+ (* -1/4 (fabs (- lambda2 lambda1))) (* (pow phi1 2) (+ (* -1/1440 (* (pow phi1 2) (fabs (- lambda2 lambda1)))) (* 1/48 (fabs (- lambda2 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))))))
(cos (* 1/2 phi2))
(+ (cos (* 1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2)))))
(* lambda2 (cos (* -1/2 phi2)))
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2)))))))
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))
(* 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)))))))))))
(sin (* 1/2 (+ phi2 (PI))))
(+ (sin (* 1/2 (+ phi2 (PI)))) (* 1/2 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))
(+ (sin (* 1/2 (+ phi2 (PI)))) (* phi1 (+ (* -1/8 (* phi1 (sin (* 1/2 (+ phi2 (PI)))))) (* 1/2 (cos (* 1/2 (+ phi2 (PI))))))))
(+ (sin (* 1/2 (+ phi2 (PI)))) (* phi1 (+ (* 1/2 (cos (* 1/2 (+ phi2 (PI))))) (* phi1 (+ (* -1/8 (sin (* 1/2 (+ phi2 (PI))))) (* -1/48 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))))))
(* R (* lambda1 (sin (* 1/2 (+ phi2 (PI))))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))) (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI)))))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI)))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (sin (* 1/2 (+ phi2 (PI)))))))) (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi2 (PI))))))))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI)))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi2 (PI))))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI))))))) (* -1/48 (* R (* lambda1 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))))))))
(+ phi2 (PI))
(+ phi1 (+ phi2 (PI)))
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 (cos (* 1/2 phi1)) 2)
(cos (* -1/2 (+ phi1 phi2)))
(* 1/2 (* phi1 (sin (* -1/2 phi2))))
(* phi1 (+ (* 1/2 (sin (* -1/2 phi2))) (/ (cos (* 1/2 phi2)) phi1)))
(* 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)))))))
(sin (* 1/2 (+ phi1 (+ phi2 (PI)))))
(* phi1 (+ 1 (+ (/ phi2 phi1) (/ (PI) 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)))))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(* -1 (* phi1 (+ (* -1 (/ (cos (* 1/2 phi2)) phi1)) (* -1/2 (sin (* -1/2 phi2))))))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 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)))))
(sin (* 1/2 (- (+ phi2 (PI)) (* -1 phi1))))
(* R (* lambda1 (sin (* 1/2 (- (+ phi2 (PI)) (* -1 phi1))))))
(* -1 (* phi1 (- (* -1 (/ (+ phi2 (PI)) phi1)) 1)))
(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)))))))))))
(cos (* -1/2 phi1))
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1)))))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1))))))
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1))))))
(+ 1 (* -1/4 (* phi1 phi2)))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* -1/8 phi2))))
(+ 1 (* phi2 (+ (* -1/4 phi1) (* phi2 (- (* 1/96 (* phi1 phi2)) 1/8)))))
(* lambda2 (cos (* -1/2 phi1)))
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1)))))))
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))
(* 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)))))))))))
(sin (* 1/2 (+ phi1 (PI))))
(+ (sin (* 1/2 (+ phi1 (PI)))) (* 1/2 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))
(+ (sin (* 1/2 (+ phi1 (PI)))) (* phi2 (+ (* -1/8 (* phi2 (sin (* 1/2 (+ phi1 (PI)))))) (* 1/2 (cos (* 1/2 (+ phi1 (PI))))))))
(+ (sin (* 1/2 (+ phi1 (PI)))) (* phi2 (+ (* 1/2 (cos (* 1/2 (+ phi1 (PI))))) (* phi2 (+ (* -1/8 (sin (* 1/2 (+ phi1 (PI))))) (* -1/48 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))))))
(* R (* lambda1 (sin (* 1/2 (+ phi1 (PI))))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))) (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI)))))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI)))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (sin (* 1/2 (+ phi1 (PI)))))))) (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi1 (PI))))))))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI)))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi1 (PI))))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI))))))) (* -1/48 (* R (* lambda1 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))))))))
(+ phi1 (PI))
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)))))))
(* R phi2)
(* phi2 (+ R (* -1 (/ (* R phi1) phi2))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))))
(* phi2 (+ 1 (+ (/ phi1 phi2) (/ (PI) 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)))))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 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)))))
(sin (* 1/2 (- (+ phi1 (PI)) (* -1 phi2))))
(* R (* lambda1 (sin (* 1/2 (- (+ phi1 (PI)) (* -1 phi2))))))
(* -1 (* phi2 (- (* -1 (/ (+ phi1 (PI)) phi2)) 1)))
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 (* lambda1 (sin (* 1/2 (+ phi1 (+ phi2 (PI)))))))
(*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (+.f64 (PI.f64) phi2) phi1) #s(literal 1/2 binary64))))
(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)))
(* (cos (* 1/2 phi1)) (fabs (- lambda2 lambda1)))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(* (pow (cos (* 1/2 phi1)) 2) (fabs (- lambda2 lambda1)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1)))
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(fma.f64 R (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.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 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))
(* lambda1 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (fma.f64 (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)
(* -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 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda1) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda1)) lambda1)))
(* (cos (* 1/2 phi1)) (fabs (+ lambda2 (* -1 lambda1))))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(* (pow (cos (* 1/2 phi1)) 2) (fabs (+ lambda2 (* -1 lambda1))))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1)))
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (-.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)) (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 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda1) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (neg.f64 lambda1))) (neg.f64 lambda1))) (neg.f64 lambda1))
(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)))
(* lambda2 (cos (* -1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))
(fma.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R))
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.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))
(* lambda2 (cos (* 1/2 (+ phi1 phi2))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2)
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2)
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))))
(*.f64 (fma.f64 (neg.f64 R) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 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)
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)) lambda2)))
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)))))
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) lambda2)) lambda2)))
(* (cos (* 1/2 phi1)) (fabs (neg (+ lambda1 (* -1 lambda2)))))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(* (pow (cos (* 1/2 phi1)) 2) (fabs (neg (+ lambda1 (* -1 lambda2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1)))
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda2))) (neg.f64 lambda2))
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.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 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (neg.f64 lambda2))) (neg.f64 lambda2))) (neg.f64 lambda2))
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)
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1
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(sin (* 1/2 (+ phi2 (PI))))
(sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64)))
(+ (sin (* 1/2 (+ phi2 (PI)))) (* 1/2 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64))))
(+ (sin (* 1/2 (+ phi2 (PI)))) (* phi1 (+ (* -1/8 (* phi1 (sin (* 1/2 (+ phi2 (PI)))))) (* 1/2 (cos (* 1/2 (+ phi2 (PI))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) phi1 (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64))))
(+ (sin (* 1/2 (+ phi2 (PI)))) (* phi1 (+ (* 1/2 (cos (* 1/2 (+ phi2 (PI))))) (* phi1 (+ (* -1/8 (sin (* 1/2 (+ phi2 (PI))))) (* -1/48 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi1) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) phi1 (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) phi1 (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64))))
(* R (* lambda1 (sin (* 1/2 (+ phi2 (PI))))))
(*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64))))
(+ (* 1/2 (* R (* lambda1 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))) (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi1) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64)))) (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64)))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI)))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (sin (* 1/2 (+ phi2 (PI)))))))) (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi2 (PI))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda1 phi1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))) phi1 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64)))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI)))))) (* phi1 (+ (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi2 (PI))))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (sin (* 1/2 (+ phi2 (PI))))))) (* -1/48 (* R (* lambda1 (* phi1 (cos (* 1/2 (+ phi2 (PI)))))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64))) lambda1) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64))) lambda1) (*.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda1 phi1) (cos.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal -1/2 binary64)))))) phi1)) phi1 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64)))))
(+ phi2 (PI))
(+.f64 (PI.f64) phi2)
(+ phi1 (+ phi2 (PI)))
(+.f64 (+.f64 (PI.f64) phi2) 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)))))))
(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)) phi1) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1) (*.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64))))) (/.f64 (neg.f64 phi2) phi1)) phi1 phi1)
(pow (cos (* 1/2 phi1)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64))
(cos (* -1/2 (+ phi1 phi2)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* 1/2 (* phi1 (sin (* -1/2 phi2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))
(* phi1 (+ (* 1/2 (sin (* -1/2 phi2))) (/ (cos (* 1/2 phi2)) phi1)))
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) 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 (+.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 R) (/.f64 phi2 phi1))) R) phi1)
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) R) phi1)
(sin (* 1/2 (+ phi1 (+ phi2 (PI)))))
(sin.f64 (*.f64 (+.f64 (+.f64 (PI.f64) phi2) phi1) #s(literal 1/2 binary64)))
(* phi1 (+ 1 (+ (/ phi2 phi1) (/ (PI) phi1))))
(fma.f64 (/.f64 (+.f64 (PI.f64) phi2) phi1) phi1 phi1)
(* -1 phi1)
(neg.f64 phi1)
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))
(*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1)))))
(*.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)) phi1)) #s(literal -1/2 binary64) phi2) phi1)) (neg.f64 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)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi2 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)) (*.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))))) phi1)) phi1)) (neg.f64 phi1))
(cos (* -1/2 (- phi2 (* -1 phi1))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* -1 (* phi1 (+ (* -1 (/ (cos (* 1/2 phi2)) phi1)) (* -1/2 (sin (* -1/2 phi2))))))
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 phi1))) (neg.f64 phi1))
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* -1 (* R phi1))
(*.f64 (neg.f64 R) phi1)
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1)))))
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 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)))))
(*.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)) phi1))) #s(literal -1/2 binary64) (*.f64 R phi2)) phi1)) (neg.f64 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)))))
(*.f64 (-.f64 R (/.f64 (fma.f64 R phi2 (/.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 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)))))) (neg.f64 phi1))) phi1)) (neg.f64 phi1))
(sin (* 1/2 (- (+ phi2 (PI)) (* -1 phi1))))
(sin.f64 (*.f64 (+.f64 (+.f64 (PI.f64) phi2) phi1) #s(literal 1/2 binary64)))
(* R (* lambda1 (sin (* 1/2 (- (+ phi2 (PI)) (* -1 phi1))))))
(*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (+.f64 (PI.f64) phi2) phi1) #s(literal 1/2 binary64))))
(* -1 (* phi1 (- (* -1 (/ (+ phi2 (PI)) phi1)) 1)))
(fma.f64 (/.f64 (+.f64 (PI.f64) phi2) (neg.f64 phi1)) (neg.f64 phi1) phi1)
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/4 binary64))) phi2 (fma.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)))))) phi2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R))
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (fma.f64 (*.f64 R phi2) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/6 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/4 binary64))) R)))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) phi2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R))
(sin (* 1/2 (+ phi1 (PI))))
(sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64)))
(+ (sin (* 1/2 (+ phi1 (PI)))) (* 1/2 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (cos.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))))
(+ (sin (* 1/2 (+ phi1 (PI)))) (* phi2 (+ (* -1/8 (* phi2 (sin (* 1/2 (+ phi1 (PI)))))) (* 1/2 (cos (* 1/2 (+ phi1 (PI))))))))
(fma.f64 (fma.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) phi2) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))))) phi2 (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))))
(+ (sin (* 1/2 (+ phi1 (PI)))) (* phi2 (+ (* 1/2 (cos (* 1/2 (+ phi1 (PI))))) (* phi2 (+ (* -1/8 (sin (* 1/2 (+ phi1 (PI))))) (* -1/48 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi2) (cos.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) phi2 (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) phi2 (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))))
(* R (* lambda1 (sin (* 1/2 (+ phi1 (PI))))))
(*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))))
(+ (* 1/2 (* R (* lambda1 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))) (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi2) (cos.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal -1/2 binary64)))) (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64)))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI)))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (sin (* 1/2 (+ phi1 (PI)))))))) (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi1 (PI))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda1 phi2) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))) phi2 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64)))))
(+ (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI)))))) (* phi2 (+ (* 1/2 (* R (* lambda1 (cos (* 1/2 (+ phi1 (PI))))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (sin (* 1/2 (+ phi1 (PI))))))) (* -1/48 (* R (* lambda1 (* phi2 (cos (* 1/2 (+ phi1 (PI)))))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))) lambda1) (*.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda1 phi2) (cos.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal -1/2 binary64)))))) phi2)) phi2 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64)))))
(+ phi1 (PI))
(+.f64 (PI.f64) phi1)
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)
(* 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 (+.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 (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 (+.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) R) phi2)
(* phi2 (+ 1 (+ (/ phi1 phi2) (/ (PI) phi2))))
(fma.f64 (/.f64 (+.f64 (PI.f64) phi1) 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 (-.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))
(cos (* -1/2 (- phi1 (* -1 phi2))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)
(* -1 (* R phi2))
(*.f64 (neg.f64 R) phi2)
(* -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 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2)) (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 (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))
(sin (* 1/2 (- (+ phi1 (PI)) (* -1 phi2))))
(sin.f64 (*.f64 (+.f64 (+.f64 (PI.f64) phi2) phi1) #s(literal 1/2 binary64)))
(* R (* lambda1 (sin (* 1/2 (- (+ phi1 (PI)) (* -1 phi2))))))
(*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 (+.f64 (+.f64 (PI.f64) phi2) phi1) #s(literal 1/2 binary64))))
(* -1 (* phi2 (- (* -1 (/ (+ phi1 (PI)) phi2)) 1)))
(fma.f64 (/.f64 (+.f64 (PI.f64) phi1) (neg.f64 phi2)) (neg.f64 phi2) phi2)

rewrite227.0ms (2.8%)

Memory
10.3MiB live, 162.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075584
0115499
1425483
23686483
08176444
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 228
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1)))) phi1))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64))))
#s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))))
(sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 R lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64))))
(+.f64 (+.f64 phi2 phi1) (PI.f64))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (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))))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
Outputs
#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)) (fabs.f64 (-.f64 lambda2 lambda1))) phi1))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (-.f64 lambda2 lambda1))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1))))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (-.f64 lambda2 lambda1))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (-.f64 lambda2 lambda1))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (-.f64 lambda2 lambda1)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 (-.f64 lambda2 lambda1))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (-.f64 lambda2 lambda1))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (fabs.f64 (-.f64 lambda2 lambda1))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (-.f64 lambda2 lambda1))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (-.f64 lambda2 lambda1)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1)))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 lambda2 lambda1))) (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (fabs.f64 (sqrt.f64 (-.f64 lambda2 lambda1))))
(*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (sqrt.f64 (-.f64 lambda2 lambda1)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1)))
(*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(pow.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1)))))
(fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))))
(*.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(pow.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) phi1))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal 1/2 binary64) phi1))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) phi1))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal 1/2 binary64) phi1))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) phi1))) (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) phi1) (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (*.f64 #s(literal 1/2 binary64) phi1))) (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) phi1) (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (*.f64 #s(literal -1/2 binary64) phi1))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) phi1) (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) phi1))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) phi1) (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1))))))
(fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)))))
(*.f64 (pow.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (fabs.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (fabs.f64 (-.f64 lambda2 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
(*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) #s(literal 1 binary64)))
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#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 phi2 phi1) (PI.f64)) (-.f64 (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 phi2 phi1)) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 phi2 phi1) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (+.f64 phi2 phi1))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (+.f64 phi2 phi1))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (+.f64 phi2 phi1))
(fma.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (+.f64 phi2 phi1))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (+.f64 phi2 phi1))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (+.f64 phi2 phi1))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (+.f64 phi2 phi1))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64) (+.f64 phi2 phi1))
(fma.f64 (/.f64 (*.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) (*.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2))) (+.f64 phi2 phi1) (PI.f64))
(fma.f64 (/.f64 (*.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) (-.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64)))) (fma.f64 phi2 (+.f64 phi2 phi1) (*.f64 phi1 phi1)) (PI.f64))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 phi2 phi1))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (+.f64 phi2 phi1))
(fma.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)) (+.f64 phi2 phi1))
(fma.f64 (-.f64 (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (-.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 phi2 phi1) (-.f64 phi1 phi2)) (pow.f64 (-.f64 phi1 phi2) #s(literal -1 binary64)) (PI.f64))
(fma.f64 (*.f64 (+.f64 phi2 phi1) (-.f64 phi2 phi1)) (pow.f64 (-.f64 phi2 phi1) #s(literal -1 binary64)) (PI.f64))
(fma.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 phi2 phi1) #s(literal 3 binary64))) (pow.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 phi2 phi1)) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (pow.f64 (fma.f64 phi2 (-.f64 phi2 phi1) (*.f64 phi1 phi1)) #s(literal -1 binary64)) (PI.f64))
(fma.f64 (+.f64 (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (pow.f64 (fma.f64 phi2 phi2 (*.f64 phi1 (-.f64 phi1 phi2))) #s(literal -1 binary64)) (PI.f64))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (+.f64 phi2 phi1))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (+.f64 phi2 phi1))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (+.f64 phi2 phi1))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (+.f64 phi2 phi1))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 phi2 phi1))
(fma.f64 (PI.f64) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (PI.f64) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 phi2 phi1))
(fma.f64 (PI.f64) (log.f64 (exp.f64 #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (PI.f64) (log.f64 (exp.f64 #s(literal 1 binary64))) (+.f64 phi2 phi1))
(fma.f64 (PI.f64) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 (PI.f64) #s(literal 1 binary64) (+.f64 phi2 phi1))
(fma.f64 #s(literal 1 binary64) (PI.f64) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(fma.f64 #s(literal 1 binary64) (PI.f64) (+.f64 phi2 phi1))
(-.f64 (/.f64 (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) (-.f64 (+.f64 phi2 phi1) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 phi2 phi1) (PI.f64))))
(-.f64 (+.f64 (PI.f64) (+.f64 phi2 phi1)) #s(literal 0 binary64))
(-.f64 (PI.f64) (neg.f64 (+.f64 phi2 phi1)))
(-.f64 (+.f64 phi2 phi1) (neg.f64 (PI.f64)))
(+.f64 (+.f64 (PI.f64) phi2) phi1)
(+.f64 (+.f64 (+.f64 phi2 phi1) #s(literal 0 binary64)) (PI.f64))
(+.f64 (/.f64 (pow.f64 (+.f64 phi2 phi1) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 phi2 phi1)) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 phi2 phi1)) (pow.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)))))
(+.f64 (+.f64 (PI.f64) phi1) phi2)
(+.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (+.f64 phi2 phi1)))
(+.f64 (+.f64 (PI.f64) (+.f64 phi2 phi1)) #s(literal 0 binary64))
(+.f64 (PI.f64) (+.f64 #s(literal 0 binary64) (+.f64 phi2 phi1)))
(+.f64 (PI.f64) (+.f64 phi2 phi1))
(+.f64 (+.f64 phi2 phi1) (PI.f64))
(+.f64 phi2 (+.f64 (PI.f64) phi1))
(+.f64 phi1 (+.f64 phi2 (PI.f64)))
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) phi1))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda2))
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) phi1))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) phi1))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda2)
(*.f64 lambda2 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) phi1))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) phi1))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda2)) R)
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) phi1))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) lambda2)))

eval99.0ms (1.2%)

Memory
-12.2MiB live, 115.9MiB allocated
Compiler

Compiled 24 715 to 2 439 computations (90.1% saved)

prune100.0ms (1.2%)

Memory
4.2MiB live, 168.2MiB allocated
Pruning

51 alts after pruning (44 fresh and 7 done)

PrunedKeptTotal
New3788386
Fresh43640
Picked235
Done044
Total38451435
Accuracy
98.7%
Counts
435 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
57.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) phi2)))
60.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (-.f64 lambda2 lambda1))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) #s(literal 1/2 binary64))) phi1)))
67.3%
(*.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 lambda1 lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) phi2)))) phi2)))
✓72.1%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2)))
71.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (sqrt.f64 (-.f64 lambda2 lambda1))) phi1)))
49.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal 1/2 binary64) phi1))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1)))) phi1)))
65.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) #s(approx (pow (cos (* 1/2 phi1)) 2) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1)))) phi1)))
66.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1))) (-.f64 lambda1 lambda2)) phi1)))
67.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)))
51.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
66.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
54.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
22.4%
(*.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 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))))
22.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2)))
16.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (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)))
50.6%
(*.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)))
19.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (+.f64 (PI.f64) phi2)))) lambda2)))
14.7%
(*.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) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
38.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))
38.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))))))
38.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))))
35.1%
(*.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) (fma.f64 (neg.f64 lambda2) (/.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
39.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))))
9.5%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
19.8%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (*.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)))) lambda2)))
✓20.3%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
23.0%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2)))
✓23.4%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (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)))) lambda2)))
23.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))
✓22.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
25.6%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1) #s(literal -1/8 binary64)) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
21.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
✓23.9%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
✓32.2%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
29.7%
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 lambda1 phi1) (fma.f64 #s(literal 1/8 binary64) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) lambda1))) phi1 (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))
51.7%
#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))
53.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
9.5%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) lambda1))
21.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
10.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))
8.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))))
21.6%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
7.9%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2)))))
7.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1)))))
6.1%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #s(literal 1/2 binary64))))))
8.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))))))
14.7%
#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)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
23.2%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
21.0%
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) lambda2))))
✓29.5%
#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 6 555 to 2 019 computations (69.2% saved)

regimes246.0ms (3%)

Memory
-4.2MiB live, 350.1MiB allocated
Counts
75 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
#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))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.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 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1) #s(literal -1/8 binary64)) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))
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(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (fabs.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (-.f64 lambda2 lambda1))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 lambda2 lambda1)) #s(literal 1/2 binary64))) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.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 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 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) (-.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 phi2 #s(literal 1/2 binary64))) (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64)))))) (*.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) (fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (fma.f64 (*.f64 phi1 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (* (neg lambda1) (+ (* (neg lambda2) (/ (cos (* -1/2 (+ phi2 phi1))) lambda1)) (cos (* -1/2 (+ phi2 phi1))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 lambda1 phi1) (fma.f64 #s(literal 1/8 binary64) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) lambda1))) phi1 (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (sin.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 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 lambda2 (/.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (neg.f64 lambda1)) (fma.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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)) lambda1)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)) lambda1) #s(literal 2 binary64))))))
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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2)))
Calls

9 calls:

41.0ms
(-.f64 lambda1 lambda2)
38.0ms
(*.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)))))
38.0ms
R
24.0ms
phi1
23.0ms
phi2
Results
AccuracySegmentsBranch
79.0%3R
76.1%2lambda1
75.8%2lambda2
92.8%2phi1
92.6%2phi2
79.2%2(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
80.6%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))))
80.6%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)))
79.8%3(-.f64 lambda1 lambda2)
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes23.0ms (0.3%)

Memory
-4.6MiB live, 34.3MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
#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))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.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 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1) #s(literal -1/8 binary64)) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #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 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) lambda1))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (+.f64 (PI.f64) phi2)))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) #s(approx (pow (cos (* 1/2 phi1)) 2) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1)))) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
Calls

2 calls:

11.0ms
phi1
10.0ms
phi2
Results
AccuracySegmentsBranch
88.0%2phi2
88.0%2phi1
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes46.0ms (0.6%)

Memory
-28.2MiB live, 26.8MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
#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))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.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 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1) #s(literal -1/8 binary64)) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #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 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) lambda1))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (+.f64 (PI.f64) phi2)))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) #s(approx (pow (cos (* 1/2 phi1)) 2) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1)))) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)))
Calls

2 calls:

33.0ms
phi1
10.0ms
phi2
Results
AccuracySegmentsBranch
82.8%2phi1
82.1%2phi2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes12.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
#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))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.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 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1) #s(literal -1/8 binary64)) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (sin.f64 (*.f64 (+.f64 (PI.f64) phi1) #s(literal 1/2 binary64))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (sin (/ (+ (+ phi2 phi1) (PI)) 2)) (sin.f64 (*.f64 (+.f64 (PI.f64) phi2) #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 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R) lambda1))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) R) lambda1))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (+.f64 (PI.f64) phi2)))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 lambda1) (sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 lambda2 lambda1)) #s(approx (pow (cos (* 1/2 phi1)) 2) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 lambda2 lambda1)))) 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 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)))
Calls

1 calls:

10.0ms
phi1
Results
AccuracySegmentsBranch
82.2%2phi1
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes10.0ms (0.1%)

Memory
-18.1MiB live, 21.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
#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))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.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 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1) #s(literal -1/8 binary64)) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.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 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) 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))
Calls

2 calls:

5.0ms
phi2
4.0ms
phi1
Results
AccuracySegmentsBranch
80.8%2phi2
71.2%2phi1
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes88.0ms (1.1%)

Memory
24.4MiB live, 63.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
#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))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
(*.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 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1))))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1) #s(literal -1/8 binary64)) phi2 (*.f64 #s(literal -1/4 binary64) phi1)) phi2 #s(literal 1 binary64)))) lambda2)))
Outputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)))
Calls

9 calls:

58.0ms
R
4.0ms
(-.f64 lambda1 lambda2)
4.0ms
phi2
4.0ms
lambda1
4.0ms
lambda2
Results
AccuracySegmentsBranch
58.5%2phi1
56.9%2lambda2
58.6%3lambda1
53.1%1R
54.7%2(-.f64 lambda1 lambda2)
53.1%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)))))
53.1%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))))
53.1%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)))
59.5%2phi2
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes5.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
#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)))
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 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2))
Calls

2 calls:

2.0ms
phi2
2.0ms
phi1
Results
AccuracySegmentsBranch
57.3%2phi1
56.5%2phi2
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes20.0ms (0.3%)

Memory
-24.9MiB live, 14.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
Outputs
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)))
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
Calls

4 calls:

15.0ms
lambda1
2.0ms
phi1
2.0ms
lambda2
2.0ms
phi2
Results
AccuracySegmentsBranch
55.8%3phi2
44.2%3lambda2
42.7%4lambda1
56.7%3phi1
Compiler

Compiled 4 to 20 computations (-400% saved)

regimes11.0ms (0.1%)

Memory
25.3MiB live, 25.3MiB 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

7 calls:

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
(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 lambda1 lambda2)
1.0ms
R
1.0ms
phi1
Results
AccuracySegmentsBranch
53.4%2phi2
35.1%2R
35.5%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)))))
34.8%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))))
34.8%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)))
36.3%2(-.f64 lambda1 lambda2)
53.7%2phi1
Compiler

Compiled 97 to 69 computations (28.9% saved)

regimes36.0ms (0.4%)

Memory
-15.2MiB live, 26.4MiB 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

9 calls:

26.0ms
lambda2
1.0ms
(-.f64 lambda1 lambda2)
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
(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)))
Results
AccuracySegmentsBranch
29.5%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))))
29.5%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)))
29.5%1R
29.5%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)))))
29.5%1(-.f64 lambda1 lambda2)
29.5%1lambda1
29.5%1lambda2
29.5%1phi2
29.5%1phi1
Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch78.0ms (1%)

Memory
-13.4MiB live, 25.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
73.0ms
-1.04478384717654e-13
-1.210114189594981e-33
Samples
60.0ms160×0valid
4.0ms16×1valid
Compiler

Compiled 981 to 572 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 3.0ms (20.5% of total)
ival-hypot: 3.0ms (20.5% of total)
ival-cos: 3.0ms (20.5% of total)
ival-div: 2.0ms (13.7% of total)
ival-sub: 2.0ms (13.7% of total)
ival-add: 1.0ms (6.8% 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)

bsearch40.0ms (0.5%)

Memory
14.5MiB live, 14.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
8.106199090240488e+26
2.255131958983387e+31
Samples
17.0ms54×1valid
11.0ms74×0valid
Compiler

Compiled 779 to 454 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 6.0ms (27.7% of total)
ival-hypot: 4.0ms (18.5% of total)
ival-mult: 3.0ms (13.8% of total)
ival-div: 2.0ms (9.2% of total)
adjust: 2.0ms (9.2% of total)
ival-sub: 2.0ms (9.2% of total)
ival-add: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Memory
8.3MiB live, 8.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
-6.149581582671147e+19
-1006493146497338.6
Samples
13.0ms63×1valid
7.0ms65×0valid
Compiler

Compiled 811 to 462 computations (43% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 5.0ms (32.6% of total)
ival-hypot: 3.0ms (19.6% of total)
adjust: 2.0ms (13.1% of total)
ival-mult: 2.0ms (13.1% of total)
ival-add: 1.0ms (6.5% of total)
ival-div: 1.0ms (6.5% of total)
ival-sub: 1.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-2.582889278481051e+58
-1.6368450090136863e+58
Samples
5.0ms26×1valid
3.0ms38×0valid
Compiler

Compiled 411 to 230 computations (44% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
adjust: 1.0ms (15.8% of total)
ival-div: 1.0ms (15.8% of total)
ival-mult: 1.0ms (15.8% of total)
ival-hypot: 1.0ms (15.8% of total)
ival-sub: 1.0ms (15.8% of total)
ival-cos: 1.0ms (15.8% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch40.0ms (0.5%)

Memory
-30.3MiB live, 8.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
38.0ms
6.130916169805163e+36
6.1158936424724204e+38
Samples
27.0ms44×1valid
6.0ms68×0valid
Compiler

Compiled 658 to 365 computations (44.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 19.0ms (64.5% of total)
ival-mult: 2.0ms (6.8% of total)
ival-hypot: 2.0ms (6.8% of total)
ival-cos: 2.0ms (6.8% of total)
adjust: 1.0ms (3.4% of total)
ival-div: 1.0ms (3.4% of total)
ival-sub: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.0002782604924027e+24
2.4099127419246108e+24
Samples
5.0ms22×1valid
3.0ms26×0valid
Compiler

Compiled 284 to 163 computations (42.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (35.7% of total)
adjust: 1.0ms (17.9% of total)
ival-mult: 1.0ms (17.9% of total)
ival-hypot: 1.0ms (17.9% of total)
ival-sub: 1.0ms (17.9% of total)
ival-add: 0.0ms (0% of total)
ival-div: 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)

bsearch14.0ms (0.2%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-1.4539292885779926e+175
-5.586028961405277e+174
Samples
5.0ms58×0valid
4.0ms22×1valid
Compiler

Compiled 420 to 237 computations (43.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-hypot: 2.0ms (29.8% of total)
ival-add: 1.0ms (14.9% of total)
adjust: 1.0ms (14.9% of total)
ival-div: 1.0ms (14.9% of total)
ival-mult: 1.0ms (14.9% of total)
ival-sub: 1.0ms (14.9% of total)
ival-cos: 1.0ms (14.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Memory
23.0MiB live, 23.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
-7.880903106071037e-266
-1.1966766168946314e-268
16.0ms
-3.80794300380775e+25
-1.8149314282216455e+25
Samples
14.0ms152×0valid
12.0ms56×1valid
Compiler

Compiled 1 304 to 776 computations (40.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 5.0ms (26.5% of total)
ival-hypot: 4.0ms (21.2% of total)
ival-mult: 3.0ms (15.9% of total)
ival-div: 2.0ms (10.6% of total)
ival-sub: 2.0ms (10.6% of total)
ival-add: 1.0ms (5.3% of total)
adjust: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-2.771867068127671e+39
-4.616802644961106e+37
Samples
9.0ms47×1valid
6.0ms65×0valid
Compiler

Compiled 532 to 302 computations (43.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 2.0ms (18.2% of total)
ival-hypot: 2.0ms (18.2% of total)
ival-cos: 2.0ms (18.2% of total)
ival-add: 1.0ms (9.1% of total)
adjust: 1.0ms (9.1% of total)
ival-div: 1.0ms (9.1% of total)
ival-sub: 1.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify128.0ms (1.6%)

Memory
-35.7MiB live, 44.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0127899
1169899
2198899
3246898
4393898
5589898
6803898
71006898
81222898
91378898
101492898
111545898
121551898
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 phi1 #s(literal -3961408125713217/39614081257132168796771975168 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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2))))
(if (<=.f64 phi2 #s(literal 13499999999999999283280016834560 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))))
(if (<=.f64 phi1 #s(literal -160000000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi1 #s(literal -24999999999999999292197012390116050212484082091544289476608 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi2 #s(literal 115999999999999991343990297135853600768 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) 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)))
(if (<=.f64 phi2 #s(literal 2299999999999999907725312 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2))))
(if (<=.f64 phi1 #s(literal -6400000000000000089850792037118113394077566116488264710005122748481363491113606918923784527588203958055186288881798521996351313719240940151857137413402988141872678763717722112 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 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2)))
(if (<=.f64 phi1 #s(literal -20499999999999998313889792 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))) (if (<=.f64 phi1 #s(literal -1487016908477783/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))))
(if (<=.f64 phi1 #s(literal -290000000000000006694174640057505284096 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)))
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))
Outputs
(if (<=.f64 phi1 #s(literal -3961408125713217/39614081257132168796771975168 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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) phi2))))
(if (<=.f64 phi1 #s(literal -3961408125713217/39614081257132168796771975168 binary64)) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) phi1)) R) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) R))
(if (<=.f64 phi2 #s(literal 13499999999999999283280016834560 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2))))
(if (<=.f64 phi2 #s(literal 13499999999999999283280016834560 binary64)) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) phi1)) R) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) phi2)) R))
(if (<=.f64 phi1 #s(literal -160000000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi1 #s(literal -160000000000000000 binary64)) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) phi1)) R) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)) R))
(if (<=.f64 phi1 #s(literal -24999999999999999292197012390116050212484082091544289476608 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2))))
(if (<=.f64 phi1 #s(literal -24999999999999999292197012390116050212484082091544289476608 binary64)) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)) R) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (- lambda1 lambda2) (cos (* -1/2 phi2))) (-.f64 lambda1 lambda2)) phi2)) R))
(if (<=.f64 phi2 #s(literal 115999999999999991343990297135853600768 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) 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)))
(if (<=.f64 phi2 #s(literal 115999999999999991343990297135853600768 binary64)) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 #s(approx (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (-.f64 lambda1 lambda2)) phi1)) R) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2)))
(if (<=.f64 phi2 #s(literal 2299999999999999907725312 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) (neg.f64 phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2))))
(if (<=.f64 phi2 #s(literal 2299999999999999907725312 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (*.f64 (/.f64 phi2 phi1) R) R) phi1)) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2)) R))
(if (<=.f64 phi1 #s(literal -6400000000000000089850792037118113394077566116488264710005122748481363491113606918923784527588203958055186288881798521996351313719240940151857137413402988141872678763717722112 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 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2)))
(if (<=.f64 phi1 #s(literal -6400000000000000089850792037118113394077566116488264710005122748481363491113606918923784527588203958055186288881798521996351313719240940151857137413402988141872678763717722112 binary64)) (*.f64 #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 (* 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)))
(if (<=.f64 phi1 #s(literal -20499999999999998313889792 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))) (if (<=.f64 phi1 #s(literal -1487016908477783/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))))
(if (<=.f64 phi1 #s(literal -20499999999999998313889792 binary64)) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) R) (if (<=.f64 phi1 #s(literal -1487016908477783/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944 binary64)) (*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi1) (sin (* -1/2 phi2))) (cos (* 1/2 phi2))) (fma.f64 (*.f64 #s(literal -1/4 binary64) phi1) phi2 #s(literal 1 binary64)))) lambda2)) R) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi2 R))))
(if (<=.f64 phi1 #s(literal -290000000000000006694174640057505284096 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)))
(if (<=.f64 phi1 #s(literal -290000000000000006694174640057505284096 binary64)) (*.f64 #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 (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi2 R)))
#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))

soundness793.0ms (9.8%)

Memory
26.4MiB live, 221.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08736639
133056156
083195713
0140614740
1540914503
0846913672
05343983
119783617
083513387
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 146 to 437 computations (61.9% saved)

preprocess149.0ms (1.8%)

Memory
-9.6MiB live, 185.6MiB allocated
Remove

(sort lambda1 lambda2)

(negabs R)

Compiler

Compiled 3 300 to 820 computations (75.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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