Metrics for Distance on a great circle

start0.0ms (0%)

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

analyze880.0ms (10.1%)

Memory

5.8MiB live, 807.2MiB allocated; 78ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
0%	0%	99.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 67 to 28 computations (58.2% saved)

sample7.0s (80.4%)

Memory

66.4MiB live, 3 121.4MiB allocated; 383ms collecting garbage

Samples

6.3s	7 570×	1	valid
100.0ms	686×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.0s

ival-cos: 2.3s (37.8% of total)

ival-sin: 1.9s (31.5% of total)

ival-mult!: 445.0ms (7.4% of total)

adjust: 442.0ms (7.3% of total)

ival-sqrt: 221.0ms (3.7% of total)

ival-atan2: 204.0ms (3.4% of total)

ival-pow2: 197.0ms (3.3% of total)

ival-div!: 159.0ms (2.6% of total)

ival-sub!: 141.0ms (2.3% of total)

ival-add!: 37.0ms (0.6% of total)

Bogosity

explain667.0ms (7.6%)

Memory

-11.1MiB live, 294.2MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
72	114	(3.4172528423904174e-305 -9.226025556624757e-279 5.232617665265016e-174 1.380101472853663e-282 -5.088641167495358e+171)	0	-	`(sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))`
70	120	(-2.093255887573899e-57 4.589292034340404e-77 -2.3683155505010815e+23 3.1675205825866254e-262 -6.1121641118234004e-207)	0	-	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))`
6	1	(-8.31308417299504e-72 1.2294290379086666e-243 1.0748563017311714e+145 1.8325670433324937e+217 -7.12733714908655e-69)	4	(5.3845432820432975e-291 5.028922230502383e-67 3.127282506008019e+60 5.74366510763831e-249 4.2616688350219944e-302)	`(-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))`
0	0	-	0	-	`(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))`
0	0	-	0	-	`lambda2`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`phi2`
0	0	-	0	-	(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))))
0	0	-	0	-	`(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64))`
0	0	-	0	-	(.f64 #s(literal 2 binary64) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))))))
0	0	-	0	-	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))`
0	0	-	0	-	`(*.f64 (cos.f64 phi1) (cos.f64 phi2))`
0	0	-	0	-	`(-.f64 lambda1 lambda2)`
0	0	-	0	-	`R`
0	0	-	0	-	`(cos.f64 phi2)`
0	0	-	0	-	`lambda1`
0	0	-	0	-	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))`
0	0	-	0	-	`phi1`
0	0	-	0	-	`(/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))`
0	0	-	0	-	`(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))`
0	0	-	0	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	(.f64 R (.f64 #s(literal 2 binary64) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))))))
0	0	-	0	-	`(/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))`
0	0	-	0	-	`(-.f64 phi1 phi2)`
0	0	-	0	-	`(cos.f64 phi1)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))`	sensitivity	190	0
`sin.f64`	`(sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))`	sensitivity	186	0
`-.f64`	`(-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))`	cancellation	3	6

Confusion

	Predicted +	Predicted -
+	127	0
-	112	17

Precision

0.5313807531380753

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	112	0	17

Precision?

0.5313807531380753

Recall?

1.0

Freqs

test

number	freq
0	17
1	101
2	136
3	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

432.0ms	472×	1	valid
6.0ms	40×	0	valid

Compiler

Compiled 849 to 82 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-sin: 145.0ms (37.5% of total)

ival-cos: 133.0ms (34.4% of total)

adjust: 26.0ms (6.7% of total)

ival-mult!: 25.0ms (6.5% of total)

ival-sqrt: 13.0ms (3.4% of total)

ival-pow2: 12.0ms (3.1% of total)

ival-atan2: 12.0ms (3.1% of total)

ival-div!: 9.0ms (2.3% of total)

ival-sub!: 8.0ms (2.1% of total)

ival-add!: 2.0ms (0.5% of total)

preprocess41.0ms (0.5%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	234	1374
1	562	1369
2	1508	1369
3	4900	1369

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.1%	(.f64 R (.f64 #s(literal 2 binary64) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))))))

Status

Accuracy

Program

▶

60.1%

(*.f64 R (*.f64 #s(literal 2 binary64) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))))))

Symmetry

(negabs R)

Compiler

Compiled 130 to 52 computations (60% saved)

series106.0ms (1.2%)

Memory

-3.3MiB live, 44.1MiB allocated; 7ms collecting garbage

Counts

26 → 224

Calls

Call 1

Inputs
(.f64 R (.f64 #s(literal 2 binary64) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))))))
R
(.f64 #s(literal 2 binary64) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))))))
#s(literal 2 binary64)
(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))
(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))
(/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))
(-.f64 phi1 phi2)
phi1
phi2
(.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))
(*.f64 (cos.f64 phi1) (cos.f64 phi2))
(cos.f64 phi1)
(cos.f64 phi2)
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))
(/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))
(-.f64 lambda1 lambda2)
lambda1
lambda2
(sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))))
#s(literal 1 binary64)

Outputs
#s(approx (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) #s(hole binary64 (* 2 (* R (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))))
#s(approx R #s(hole binary64 R))
#s(approx (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) #s(hole binary64 (* 2 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))
#s(approx (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) #s(hole binary64 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (* 1/2 (* (* lambda1 (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (* lambda1 (+ (* 1/2 (* (* lambda1 (- (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2))))) (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* -1/2 lambda2)) 2) (pow (sin (* -1/2 lambda2)) 2)))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))) (* 1/2 (* (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (* lambda1 (+ (* 1/2 (* (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))) (- (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2))))) (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* -1/2 lambda2)) 2) (pow (sin (* -1/2 lambda2)) 2)))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))) (* 1/2 (* (* lambda1 (- (* (cos phi1) (* (cos phi2) (+ (* -1/8 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))) (* -1/24 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))))) (* 1/2 (/ (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (* (sin (* -1/2 lambda2)) (- (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2))))) (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* -1/2 lambda2)) 2) (pow (sin (* -1/2 lambda2)) 2)))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))))))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* lambda1 (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* lambda1 (+ (* lambda1 (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2)))))) (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* lambda1 (+ (* lambda1 (+ (* lambda1 (* (cos phi1) (* (cos phi2) (+ (* -1/8 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))) (* -1/24 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2))))))) (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2)))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* lambda1 (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))))) (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* lambda1 (+ (* lambda1 (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2)))))) (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))))) (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* lambda1 (+ (* lambda1 (+ (* lambda1 (* (cos phi1) (* (cos phi2) (+ (* -1/8 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))) (* -1/24 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2))))))) (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))))) (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (sin (* -1/2 lambda2))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* 1/2 (* lambda1 (* (cos phi1) (* (cos phi2) (cos (* -1/2 lambda2)))))) (* (cos phi1) (* (cos phi2) (sin (* -1/2 lambda2)))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* lambda1 (+ (* -1/8 (* lambda1 (* (cos phi1) (* (cos phi2) (sin (* -1/2 lambda2)))))) (* 1/2 (* (cos phi1) (* (cos phi2) (cos (* -1/2 lambda2))))))) (* (cos phi1) (* (cos phi2) (sin (* -1/2 lambda2)))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* lambda1 (+ (* 1/2 (* (cos phi1) (* (cos phi2) (cos (* -1/2 lambda2))))) (* lambda1 (+ (* -1/8 (* (cos phi1) (* (cos phi2) (sin (* -1/2 lambda2))))) (* -1/48 (* lambda1 (* (cos phi1) (* (cos phi2) (cos (* -1/2 lambda2)))))))))) (* (cos phi1) (* (cos phi2) (sin (* -1/2 lambda2)))))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (sin (* -1/2 lambda2))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (+ (sin (* -1/2 lambda2)) (* 1/2 (* lambda1 (cos (* -1/2 lambda2)))))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (+ (sin (* -1/2 lambda2)) (* lambda1 (+ (* -1/8 (* lambda1 (sin (* -1/2 lambda2)))) (* 1/2 (cos (* -1/2 lambda2))))))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (+ (sin (* -1/2 lambda2)) (* lambda1 (+ (* 1/2 (cos (* -1/2 lambda2))) (* lambda1 (+ (* -1/8 (sin (* -1/2 lambda2))) (* -1/48 (* lambda1 (cos (* -1/2 lambda2)))))))))))
#s(approx (/ (- lambda1 lambda2) 2) #s(hole binary64 (* -1/2 lambda2)))
#s(approx (/ (- lambda1 lambda2) 2) #s(hole binary64 (+ (* -1/2 lambda2) (* 1/2 lambda1))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* -1 lambda2)))
#s(approx (- lambda1 lambda2) #s(hole binary64 (- lambda1 lambda2)))
#s(approx lambda1 #s(hole binary64 lambda1))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))) (* -1/2 (* (* lambda1 (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))) (* lambda1 (+ (* -1/2 (* (* lambda1 (+ (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* -1/2 lambda2)) 2) (pow (sin (* -1/2 lambda2)) 2)))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2))))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))) (* -1/2 (* (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))) (* lambda1 (+ (* -1/2 (* (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))) (* lambda1 (+ (* -1/2 (* (* lambda1 (+ (* 1/2 (/ (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (* (sin (* -1/2 lambda2)) (+ (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* -1/2 lambda2)) 2) (pow (sin (* -1/2 lambda2)) 2)))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2)))))))))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))) (* (cos phi1) (* (cos phi2) (+ (* -1/8 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))) (* -1/24 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))) (* -1/2 (* (+ (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* -1/2 lambda2)) 2) (pow (sin (* -1/2 lambda2)) 2)))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2)))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))))))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* -1 (* lambda1 (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* lambda1 (- (* -1 (* lambda1 (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2))))))) (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* lambda1 (- (* lambda1 (- (* -1 (* lambda1 (* (cos phi1) (* (cos phi2) (+ (* -1/8 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))) (* -1/24 (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2))))))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* -1/2 lambda2)) 2)) (* 1/4 (pow (cos (* -1/2 lambda2)) 2))))))) (* (cos phi1) (* (cos phi2) (* (cos (* -1/2 lambda2)) (sin (* -1/2 lambda2)))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 lambda2)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2)))))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (sin (* 1/2 (- lambda1 lambda2)))))
#s(approx (/ (- lambda1 lambda2) 2) #s(hole binary64 (* 1/2 lambda1)))
#s(approx (/ (- lambda1 lambda2) 2) #s(hole binary64 (* lambda1 (+ 1/2 (* -1/2 (/ lambda2 lambda1))))))
#s(approx (- lambda1 lambda2) #s(hole binary64 lambda1))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* lambda1 (+ 1 (* -1 (/ lambda2 lambda1))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) #s(hole binary64 (* 2 (* R (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))))
#s(approx (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) #s(hole binary64 (* 2 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))
#s(approx (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) #s(hole binary64 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2)))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (sin (* -1/2 (+ lambda2 (* -1 lambda1))))))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (sin (* -1/2 (+ lambda2 (* -1 lambda1))))))
#s(approx (/ (- lambda1 lambda2) 2) #s(hole binary64 (* -1 (* lambda1 (- (* 1/2 (/ lambda2 lambda1)) 1/2)))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* -1 (* lambda1 (- (/ lambda2 lambda1) 1)))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* -1/2 (+ lambda2 (* -1 lambda1)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (* -1/2 (* (* lambda2 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (* lambda2 (+ (* -1/2 (* (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))) (* 1/2 (* (* lambda2 (- (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2))))) (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* 1/2 lambda1)) 2) (pow (sin (* 1/2 lambda1)) 2)))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (* lambda2 (+ (* -1/2 (* (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))) (- (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2))))) (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* 1/2 lambda1)) 2) (pow (sin (* 1/2 lambda1)) 2)))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))) (* 1/2 (* (* lambda2 (- (* (cos phi1) (* (cos phi2) (+ (* 1/24 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))) (* 1/8 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))))) (* -1/2 (/ (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (* (sin (* 1/2 lambda1)) (- (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2))))) (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* 1/2 lambda1)) 2) (pow (sin (* 1/2 lambda1)) 2)))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))) (sqrt (/ 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))))))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* -1 (* lambda2 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* lambda2 (+ (* -1 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))))) (* lambda2 (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2)))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* lambda2 (+ (* -1 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))))) (* lambda2 (+ (* lambda2 (* (cos phi1) (* (cos phi2) (+ (* 1/24 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))) (* 1/8 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2))))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2)))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* -1 (* lambda2 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))))) (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* lambda2 (+ (* -1 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))))) (* lambda2 (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2)))))))) (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* lambda2 (+ (* -1 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))))) (* lambda2 (+ (* lambda2 (* (cos phi1) (* (cos phi2) (+ (* 1/24 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))) (* 1/8 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2))))))))) (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (sin (* 1/2 lambda1))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* -1/2 (* lambda2 (* (cos phi1) (* (cos phi2) (cos (* 1/2 lambda1)))))) (* (cos phi1) (* (cos phi2) (sin (* 1/2 lambda1)))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* lambda2 (+ (* -1/2 (* (cos phi1) (* (cos phi2) (cos (* 1/2 lambda1))))) (* -1/8 (* lambda2 (* (cos phi1) (* (cos phi2) (sin (* 1/2 lambda1)))))))) (* (cos phi1) (* (cos phi2) (sin (* 1/2 lambda1)))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* lambda2 (+ (* -1/2 (* (cos phi1) (* (cos phi2) (cos (* 1/2 lambda1))))) (* lambda2 (+ (* -1/8 (* (cos phi1) (* (cos phi2) (sin (* 1/2 lambda1))))) (* 1/48 (* lambda2 (* (cos phi1) (* (cos phi2) (cos (* 1/2 lambda1)))))))))) (* (cos phi1) (* (cos phi2) (sin (* 1/2 lambda1)))))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (sin (* 1/2 lambda1))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (+ (sin (* 1/2 lambda1)) (* -1/2 (* lambda2 (cos (* 1/2 lambda1)))))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (+ (sin (* 1/2 lambda1)) (* lambda2 (+ (* -1/2 (cos (* 1/2 lambda1))) (* -1/8 (* lambda2 (sin (* 1/2 lambda1)))))))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (+ (sin (* 1/2 lambda1)) (* lambda2 (+ (* -1/2 (cos (* 1/2 lambda1))) (* lambda2 (+ (* -1/8 (sin (* 1/2 lambda1))) (* 1/48 (* lambda2 (cos (* 1/2 lambda1)))))))))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (+ lambda1 (* -1 lambda2))))
#s(approx lambda2 #s(hole binary64 lambda2))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))) (* 1/2 (* (* lambda2 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))) (* lambda2 (+ (* -1/2 (* (* lambda2 (+ (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* 1/2 lambda1)) 2) (pow (sin (* 1/2 lambda1)) 2)))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2))))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))) (* 1/2 (* (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))) (* lambda2 (+ (* 1/2 (* (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))) (* lambda2 (+ (* -1/2 (* (* lambda2 (+ (* -1/2 (/ (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (* (sin (* 1/2 lambda1)) (+ (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* 1/2 lambda1)) 2) (pow (sin (* 1/2 lambda1)) 2)))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2)))))))))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))) (* (cos phi1) (* (cos phi2) (+ (* 1/24 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))) (* 1/8 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))) (* -1/2 (* (+ (* 1/4 (/ (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (* (pow (cos (* 1/2 lambda1)) 2) (pow (sin (* 1/2 lambda1)) 2)))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2)))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))))))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* lambda2 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* lambda2 (- (* -1 (* lambda2 (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2))))))) (* -1 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* lambda2 (- (* lambda2 (- (* -1 (* lambda2 (* (cos phi1) (* (cos phi2) (+ (* 1/24 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1)))) (* 1/8 (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))))))) (* (cos phi1) (* (cos phi2) (+ (* -1/4 (pow (sin (* 1/2 lambda1)) 2)) (* 1/4 (pow (cos (* 1/2 lambda1)) 2))))))) (* -1 (* (cos phi1) (* (cos phi2) (* (cos (* 1/2 lambda1)) (sin (* 1/2 lambda1))))))))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (/ (- lambda1 lambda2) 2) #s(hole binary64 (* lambda2 (- (* 1/2 (/ lambda1 lambda2)) 1/2))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* lambda2 (- (/ lambda1 lambda2) 1))))
#s(approx (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) #s(hole binary64 (* 2 (* R (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))))
#s(approx (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) #s(hole binary64 (* 2 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))))
#s(approx (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) #s(hole binary64 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2)))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (* (cos phi2) (sin (* 1/2 (+ lambda1 (* -1 lambda2))))))))
#s(approx (sin (/ (- lambda1 lambda2) 2)) #s(hole binary64 (sin (* 1/2 (+ lambda1 (* -1 lambda2))))))
#s(approx (/ (- lambda1 lambda2) 2) #s(hole binary64 (* -1 (* lambda2 (+ 1/2 (* -1/2 (/ lambda1 lambda2)))))))
#s(approx (- lambda1 lambda2) #s(hole binary64 (* -1 (* lambda2 (+ 1 (* -1 (/ lambda1 lambda2)))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (sqrt (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))) (* 1/2 (* (* phi1 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (sqrt (/ 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (* 1/4 (pow (cos (* -1/2 phi2)) 2)))) (* 1/4 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (sin (* -1/2 phi2)) 2)) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))) (sqrt (/ 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))) (* 1/2 (* (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))) (sqrt (/ 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))) (* phi1 (+ (* 1/2 (* (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))) (sqrt (/ 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))) (- (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (* 1/4 (pow (cos (* -1/2 phi2)) 2)))) (* 1/4 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (sin (* -1/2 phi2)) 2)) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))))) (* 1/2 (* (* phi1 (- (+ (* -1/8 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (* -1/24 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))))) (* 1/2 (/ (* (cos (* -1/2 phi2)) (* (sin (* -1/2 phi2)) (- (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (* 1/4 (pow (cos (* -1/2 phi2)) 2)))) (* 1/4 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (sin (* -1/2 phi2)) 2)) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))))) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))) (sqrt (/ 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))))))))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* phi1 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* phi1 (+ (* phi1 (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (* 1/4 (pow (cos (* -1/2 phi2)) 2))))) (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))))) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* phi1 (+ (* phi1 (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (+ (* 1/4 (pow (cos (* -1/2 phi2)) 2)) (* phi1 (+ (* -1/8 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (* -1/24 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))))))))) (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))))) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (pow (sin (* -1/2 phi2)) 2)))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (+ (* phi1 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (pow (sin (* -1/2 phi2)) 2))))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (+ (* phi1 (+ (* phi1 (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (* 1/4 (pow (cos (* -1/2 phi2)) 2)))) (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))))) (pow (sin (* -1/2 phi2)) 2))))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (+ (* phi1 (+ (* phi1 (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (+ (* 1/4 (pow (cos (* -1/2 phi2)) 2)) (* phi1 (+ (* -1/8 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (* -1/24 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))))))))) (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))))) (pow (sin (* -1/2 phi2)) 2))))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (sin (* -1/2 phi2))))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (+ (sin (* -1/2 phi2)) (* 1/2 (* phi1 (cos (* -1/2 phi2)))))))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (+ (sin (* -1/2 phi2)) (* phi1 (+ (* -1/8 (* phi1 (sin (* -1/2 phi2)))) (* 1/2 (cos (* -1/2 phi2))))))))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (+ (sin (* -1/2 phi2)) (* phi1 (+ (* 1/2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (sin (* -1/2 phi2))) (* -1/48 (* phi1 (cos (* -1/2 phi2)))))))))))
#s(approx (/ (- phi1 phi2) 2) #s(hole binary64 (* -1/2 phi2)))
#s(approx (/ (- phi1 phi2) 2) #s(hole binary64 (+ (* -1/2 phi2) (* 1/2 phi1))))
#s(approx (- phi1 phi2) #s(hole binary64 (* -1 phi2)))
#s(approx (- phi1 phi2) #s(hole binary64 (- phi1 phi2)))
#s(approx phi1 #s(hole binary64 phi1))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* -1/2 (* (pow phi1 2) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)))) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (* (pow phi1 2) (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (* 1/24 (* (pow phi1 2) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)))))))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (* (pow phi1 2) (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)))) (* 1/24 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))))))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* -1/2 (* (pow phi1 2) (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2)))))) (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2)))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2)))) (* (pow phi1 2) (+ (* -1/2 (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2))))) (* 1/24 (* (pow phi1 2) (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2)))))))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2)))) (* (pow phi1 2) (+ (* -1/2 (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2))))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2)))))) (* 1/24 (* (cos phi2) (sin (* 1/2 (- lambda1 lambda2))))))))))))
#s(approx (* (cos phi1) (cos phi2)) #s(hole binary64 (cos phi2)))
#s(approx (* (cos phi1) (cos phi2)) #s(hole binary64 (+ (cos phi2) (* -1/2 (* (pow phi1 2) (cos phi2))))))
#s(approx (* (cos phi1) (cos phi2)) #s(hole binary64 (+ (cos phi2) (* (pow phi1 2) (+ (* -1/2 (cos phi2)) (* 1/24 (* (pow phi1 2) (cos phi2))))))))
#s(approx (* (cos phi1) (cos phi2)) #s(hole binary64 (+ (cos phi2) (* (pow phi1 2) (+ (* -1/2 (cos phi2)) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (cos phi2))) (* 1/24 (cos phi2)))))))))
#s(approx (cos phi1) #s(hole binary64 1))
#s(approx (cos phi1) #s(hole binary64 (+ 1 (* -1/2 (pow phi1 2)))))
#s(approx (cos phi1) #s(hole binary64 (+ 1 (* (pow phi1 2) (- (* 1/24 (pow phi1 2)) 1/2)))))
#s(approx (cos phi1) #s(hole binary64 (+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/24 (* -1/720 (pow phi1 2)))) 1/2)))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (sqrt (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))) (* -1/2 (* (* phi1 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (sqrt (/ 1 (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))) (* phi1 (+ (* -1/2 (* (* phi1 (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (+ (* 1/4 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (sin (* -1/2 phi2)) 2)) (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))) (* 1/4 (pow (cos (* -1/2 phi2)) 2)))))) (sqrt (/ 1 (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))))) (* -1/2 (* (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))) (sqrt (/ 1 (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))))))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))) (* phi1 (+ (* -1/2 (* (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))) (sqrt (/ 1 (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))))) (* phi1 (+ (* -1/2 (* (* phi1 (+ (* -1/8 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (+ (* -1/24 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (* 1/2 (/ (* (cos (* -1/2 phi2)) (* (sin (* -1/2 phi2)) (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (+ (* 1/4 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (sin (* -1/2 phi2)) 2)) (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))) (* 1/4 (pow (cos (* -1/2 phi2)) 2))))))) (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))))) (sqrt (/ 1 (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))))) (* -1/2 (* (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (+ (* 1/4 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (sin (* -1/2 phi2)) 2)) (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))) (* 1/4 (pow (cos (* -1/2 phi2)) 2))))) (sqrt (/ 1 (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2))))))))))))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- 1 (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* -1 (* phi1 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))))) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (* 1/4 (pow (cos (* -1/2 phi2)) 2)))))) (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))))) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/8 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))) (* -1/24 (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2))))))) (+ (* -1/2 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* -1/2 phi2)) 2)) (* 1/4 (pow (cos (* -1/2 phi2)) 2)))))) (* (cos (* -1/2 phi2)) (sin (* -1/2 phi2)))))) (+ (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* -1/2 phi2)) 2)))))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (pow (sin (* 1/2 (- phi1 phi2))) 2)))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (sin (* 1/2 (- phi1 phi2)))))
#s(approx (/ (- phi1 phi2) 2) #s(hole binary64 (* 1/2 phi1)))
#s(approx (/ (- phi1 phi2) 2) #s(hole binary64 (* phi1 (+ 1/2 (* -1/2 (/ phi2 phi1))))))
#s(approx (- phi1 phi2) #s(hole binary64 phi1))
#s(approx (- phi1 phi2) #s(hole binary64 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))))
#s(approx (* (cos phi1) (cos phi2)) #s(hole binary64 (* (cos phi1) (cos phi2))))
#s(approx (cos phi1) #s(hole binary64 (cos phi1)))
#s(approx (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) #s(hole binary64 (* 2 (* R (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2)))))))))
#s(approx (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) #s(hole binary64 (* 2 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2))))))))
#s(approx (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) #s(hole binary64 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2)))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2))))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2)))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (sin (* -1/2 (+ phi2 (* -1 phi1))))))
#s(approx (/ (- phi1 phi2) 2) #s(hole binary64 (* -1 (* phi1 (- (* 1/2 (/ phi2 phi1)) 1/2)))))
#s(approx (- phi1 phi2) #s(hole binary64 (* -1 (* phi1 (- (/ phi2 phi1) 1)))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2))))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* -1/2 (+ phi2 (* -1 phi1)))) 2)))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (sqrt (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))) (* -1/2 (* (* phi2 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (sqrt (/ 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))) (* phi2 (+ (* -1/2 (* (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))) (sqrt (/ 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))) (* 1/2 (* (* phi2 (- (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (* 1/4 (pow (cos (* 1/2 phi1)) 2)))) (* 1/4 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (sin (* 1/2 phi1)) 2)) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))) (sqrt (/ 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (+ (sqrt (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))) (* phi2 (+ (* -1/2 (* (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))) (sqrt (/ 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))) (- (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (* 1/4 (pow (cos (* 1/2 phi1)) 2)))) (* 1/4 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (sin (* 1/2 phi1)) 2)) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 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))))) (* -1/2 (/ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (- (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (* 1/4 (pow (cos (* 1/2 phi1)) 2)))) (* 1/4 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (sin (* 1/2 phi1)) 2)) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))))) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))) (sqrt (/ 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))))))))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (* 1/4 (pow (cos (* 1/2 phi1)) 2))))))) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* phi2 (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (+ (* 1/4 (pow (cos (* 1/2 phi1)) 2)) (* phi2 (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))))))))))) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (pow (sin (* 1/2 phi1)) 2)))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (sin (* 1/2 phi1)) 2))))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* phi2 (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (* 1/4 (pow (cos (* 1/2 phi1)) 2)))))) (pow (sin (* 1/2 phi1)) 2))))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* phi2 (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (+ (* 1/4 (pow (cos (* 1/2 phi1)) 2)) (* phi2 (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))))))) (pow (sin (* 1/2 phi1)) 2))))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (sin (* 1/2 phi1))))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (+ (sin (* 1/2 phi1)) (* -1/2 (* phi2 (cos (* 1/2 phi1)))))))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (+ (sin (* 1/2 phi1)) (* phi2 (+ (* -1/2 (cos (* 1/2 phi1))) (* -1/8 (* phi2 (sin (* 1/2 phi1)))))))))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (+ (sin (* 1/2 phi1)) (* phi2 (+ (* -1/2 (cos (* 1/2 phi1))) (* phi2 (+ (* -1/8 (sin (* 1/2 phi1))) (* 1/48 (* phi2 (cos (* 1/2 phi1)))))))))))
#s(approx (- phi1 phi2) #s(hole binary64 (+ phi1 (* -1 phi2))))
#s(approx phi2 #s(hole binary64 phi2))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* -1/2 (* (pow phi2 2) (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)))) (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (* (pow phi2 2) (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (* 1/24 (* (pow phi2 2) (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)))))))))
#s(approx (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (* (pow phi2 2) (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (* (pow phi2 2) (+ (* -1/720 (* (pow phi2 2) (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)))) (* 1/24 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))))))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* -1/2 (* (pow phi2 2) (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2)))))) (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2)))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2)))) (* (pow phi2 2) (+ (* -1/2 (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2))))) (* 1/24 (* (pow phi2 2) (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2)))))))))))
#s(approx (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) #s(hole binary64 (+ (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2)))) (* (pow phi2 2) (+ (* -1/2 (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2))))) (* (pow phi2 2) (+ (* -1/720 (* (pow phi2 2) (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2)))))) (* 1/24 (* (cos phi1) (sin (* 1/2 (- lambda1 lambda2))))))))))))
#s(approx (* (cos phi1) (cos phi2)) #s(hole binary64 (cos phi1)))
#s(approx (* (cos phi1) (cos phi2)) #s(hole binary64 (+ (cos phi1) (* -1/2 (* (pow phi2 2) (cos phi1))))))
#s(approx (* (cos phi1) (cos phi2)) #s(hole binary64 (+ (cos phi1) (* (pow phi2 2) (+ (* -1/2 (cos phi1)) (* 1/24 (* (pow phi2 2) (cos phi1))))))))
#s(approx (* (cos phi1) (cos phi2)) #s(hole binary64 (+ (cos phi1) (* (pow phi2 2) (+ (* -1/2 (cos phi1)) (* (pow phi2 2) (+ (* -1/720 (* (pow phi2 2) (cos phi1))) (* 1/24 (cos phi1)))))))))
#s(approx (cos phi2) #s(hole binary64 1))
#s(approx (cos phi2) #s(hole binary64 (+ 1 (* -1/2 (pow phi2 2)))))
#s(approx (cos phi2) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* 1/24 (pow phi2 2)) 1/2)))))
#s(approx (cos phi2) #s(hole binary64 (+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/24 (* -1/720 (pow phi2 2)))) 1/2)))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (sqrt (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))) (* 1/2 (* (* phi2 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))) (* phi2 (+ (* -1/2 (* (* phi2 (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (+ (* 1/4 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (sin (* 1/2 phi1)) 2)) (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))) (* 1/4 (pow (cos (* 1/2 phi1)) 2)))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))))) (* 1/2 (* (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))))))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (+ (sqrt (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))) (* phi2 (+ (* 1/2 (* (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))))) (* phi2 (+ (* -1/2 (* (* phi2 (+ (* -1/2 (/ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (+ (* 1/4 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (sin (* 1/2 phi1)) 2)) (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))) (* 1/4 (pow (cos (* 1/2 phi1)) 2))))))) (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))) (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))))) (* -1/2 (* (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (+ (* 1/4 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (sin (* 1/2 phi1)) 2)) (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))) (* 1/4 (pow (cos (* 1/2 phi1)) 2))))) (sqrt (/ 1 (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2))))))))))))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- 1 (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* phi2 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* phi2 (- (* -1 (* phi2 (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (* 1/4 (pow (cos (* 1/2 phi1)) 2)))))) (* -1 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- (+ 1 (* phi2 (- (* phi2 (- (* -1 (* phi2 (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))) (+ (* -1/2 (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (+ (* -1/4 (pow (sin (* 1/2 phi1)) 2)) (* 1/4 (pow (cos (* 1/2 phi1)) 2)))))) (* -1 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))) (+ (* (cos phi1) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (pow (sin (* 1/2 phi1)) 2)))))
#s(approx (/ (- phi1 phi2) 2) #s(hole binary64 (* phi2 (- (* 1/2 (/ phi1 phi2)) 1/2))))
#s(approx (- phi1 phi2) #s(hole binary64 (* phi2 (- (/ phi1 phi2) 1))))
#s(approx (cos phi2) #s(hole binary64 (cos phi2)))
#s(approx (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) #s(hole binary64 (* 2 (* R (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2)))))))))
#s(approx (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) #s(hole binary64 (* 2 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2))))))))
#s(approx (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) #s(hole binary64 (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2)))))))
#s(approx (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2)))))
#s(approx (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) #s(hole binary64 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2))))
#s(approx (pow (sin (/ (- phi1 phi2) 2)) 2) #s(hole binary64 (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2)))
#s(approx (sin (/ (- phi1 phi2) 2)) #s(hole binary64 (sin (* 1/2 (+ phi1 (* -1 phi2))))))
#s(approx (/ (- phi1 phi2) 2) #s(hole binary64 (* -1 (* phi2 (+ 1/2 (* -1/2 (/ phi1 phi2)))))))
#s(approx (- phi1 phi2) #s(hole binary64 (* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2)))))))
#s(approx (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) #s(hole binary64 (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2))))))
#s(approx (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) #s(hole binary64 (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (+ phi1 (* -1 phi2)))) 2)))))

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	lambda1	@	-inf	((* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2) (sin (/ (- phi1 phi2) 2)) (/ (- phi1 phi2) 2) (- phi1 phi2) phi1 phi2 (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2)) (cos phi1) (cos phi2) (sin (/ (- lambda1 lambda2) 2)) (/ (- lambda1 lambda2) 2) (- lambda1 lambda2) lambda1 lambda2 (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) 1)
12.0ms	phi1	@	-inf	((* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2) (sin (/ (- phi1 phi2) 2)) (/ (- phi1 phi2) 2) (- phi1 phi2) phi1 phi2 (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2)) (cos phi1) (cos phi2) (sin (/ (- lambda1 lambda2) 2)) (/ (- lambda1 lambda2) 2) (- lambda1 lambda2) lambda1 lambda2 (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) 1)
10.0ms	lambda2	@	0	((* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2) (sin (/ (- phi1 phi2) 2)) (/ (- phi1 phi2) 2) (- phi1 phi2) phi1 phi2 (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2)) (cos phi1) (cos phi2) (sin (/ (- lambda1 lambda2) 2)) (/ (- lambda1 lambda2) 2) (- lambda1 lambda2) lambda1 lambda2 (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) 1)
8.0ms	lambda1	@	0	((* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2) (sin (/ (- phi1 phi2) 2)) (/ (- phi1 phi2) 2) (- phi1 phi2) phi1 phi2 (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2)) (cos phi1) (cos phi2) (sin (/ (- lambda1 lambda2) 2)) (/ (- lambda1 lambda2) 2) (- lambda1 lambda2) lambda1 lambda2 (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) 1)
8.0ms	phi1	@	0	((* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2) (sin (/ (- phi1 phi2) 2)) (/ (- phi1 phi2) 2) (- phi1 phi2) phi1 phi2 (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2)) (cos phi1) (cos phi2) (sin (/ (- lambda1 lambda2) 2)) (/ (- lambda1 lambda2) 2) (- lambda1 lambda2) lambda1 lambda2 (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) 1)

rewrite16.0ms (0.2%)

Memory: 10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

start0.0ms (0%)

analyze880.0ms (10.1%)

sample7.0s (80.4%)

explain667.0ms (7.6%)

preprocess41.0ms (0.5%)

series106.0ms (1.2%)

rewrite16.0ms (0.2%)

end0.0ms (0%)

Profiling