Metrics for Distance on a great circle

analyze1.1s (10.5%)

Memory

-23.2MiB live, 1 160.6MiB allocated

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)

sample8.9s (84.2%)

Memory

109.0MiB live, 8 393.7MiB allocated

Samples

7.4s	7 493×	1	valid
416.0ms	759×	0	valid
3.0ms	4×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 7.4s

ival-cos: 2.6s (35.3% of total)

ival-sin: 2.4s (32.4% of total)

ival-mult: 658.0ms (8.9% of total)

ival-sub: 327.0ms (4.4% of total)

ival-div: 293.0ms (4% of total)

ival-sqrt: 288.0ms (3.9% of total)

adjust: 266.0ms (3.6% of total)

ival-pow2: 212.0ms (2.9% of total)

ival-atan2: 193.0ms (2.6% of total)

ival-add: 112.0ms (1.5% of total)

exact: 22.0ms (0.3% of total)

ival-true: 8.0ms (0.1% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

preprocess557.0ms (5.3%)

Memory

0.2MiB live, 477.4MiB allocated

Algorithm

2×	egg-herbie

Rules

13 332×	`accelerator-lowering-fma.f32`
13 332×	`accelerator-lowering-fma.f64`
4 598×	`+-lowering-+.f64`
4 598×	`+-lowering-+.f32`
3 256×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	1374
1	546	1369
2	1359	1369
3	3549	1345
4	6224	1337
0	26	65
1	55	65
2	113	65
3	254	65
4	502	65
5	843	65
6	1309	65
7	1602	65
8	2133	65
9	2912	65
10	4096	65
11	4359	65
12	4500	65
13	4560	65
14	4584	65
15	4753	65
16	5163	65
17	5251	65
18	5251	65
19	5259	65
20	6315	65
0	8505	63

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs

(* 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)))))))))

Outputs

(* 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)))))))))

(*.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (fma.f64 (sin.f64 (fma.f64 (-.f64 lambda1 lambda2) #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 (cos.f64 phi2) (sin.f64 (fma.f64 (-.f64 lambda1 lambda2) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (sin.f64 (fma.f64 (-.f64 phi1 phi2) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 phi1) (cos.f64 phi2) #s(literal 0 binary64)) (sin.f64 (fma.f64 (-.f64 lambda1 lambda2) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (sin.f64 (fma.f64 (-.f64 lambda1 lambda2) #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 (fma.f64 (-.f64 phi1 phi2) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))) (*.f64 R #s(literal 2 binary64)))

Call 2

Inputs
(* 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)))))))))
(* (neg 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 (/ (- (neg lambda1) lambda2) 2))) (sin (/ (- (neg lambda1) lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- (neg lambda1) lambda2) 2))) (sin (/ (- (neg lambda1) lambda2) 2)))))))))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 (neg lambda2)) 2))) (sin (/ (- lambda1 (neg lambda2)) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 (neg lambda2)) 2))) (sin (/ (- lambda1 (neg lambda2)) 2)))))))))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- (neg phi1) phi2) 2)) 2) (* (* (* (cos (neg phi1)) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- (neg phi1) phi2) 2)) 2) (* (* (* (cos (neg phi1)) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 (neg phi2)) 2)) 2) (* (* (* (cos phi1) (cos (neg phi2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 (neg phi2)) 2)) 2) (* (* (* (cos phi1) (cos (neg phi2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))
(neg (* (neg 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))))))))))
(neg (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- (neg lambda1) lambda2) 2))) (sin (/ (- (neg lambda1) lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- (neg lambda1) lambda2) 2))) (sin (/ (- (neg lambda1) lambda2) 2))))))))))
(neg (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 (neg lambda2)) 2))) (sin (/ (- lambda1 (neg lambda2)) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 (neg lambda2)) 2))) (sin (/ (- lambda1 (neg lambda2)) 2))))))))))
(neg (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- (neg phi1) phi2) 2)) 2) (* (* (* (cos (neg phi1)) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- (neg phi1) phi2) 2)) 2) (* (* (* (cos (neg phi1)) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))))
(neg (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 (neg phi2)) 2)) 2) (* (* (* (cos phi1) (cos (neg phi2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 (neg phi2)) 2)) 2) (* (* (* (cos phi1) (cos (neg phi2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))))
(* lambda1 (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- R lambda2) 2))) (sin (/ (- R lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- R lambda2) 2))) (sin (/ (- R lambda2) 2)))))))))
(* lambda2 (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 R) 2))) (sin (/ (- lambda1 R) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 R) 2))) (sin (/ (- lambda1 R) 2)))))))))
(* phi1 (* 2 (atan2 (sqrt (+ (pow (sin (/ (- R phi2) 2)) 2) (* (* (* (cos R) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- R phi2) 2)) 2) (* (* (* (cos R) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))
(* phi2 (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 R) 2)) 2) (* (* (* (cos phi1) (cos R)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 R) 2)) 2) (* (* (* (cos phi1) (cos R)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda2 lambda1) 2))) (sin (/ (- lambda2 lambda1) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda2 lambda1) 2))) (sin (/ (- lambda2 lambda1) 2)))))))))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- lambda1 phi2) 2)) 2) (* (* (* (cos lambda1) (cos phi2)) (sin (/ (- phi1 lambda2) 2))) (sin (/ (- phi1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- lambda1 phi2) 2)) 2) (* (* (* (cos lambda1) (cos phi2)) (sin (/ (- phi1 lambda2) 2))) (sin (/ (- phi1 lambda2) 2)))))))))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 lambda1) 2)) 2) (* (* (* (cos phi1) (cos lambda1)) (sin (/ (- phi2 lambda2) 2))) (sin (/ (- phi2 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 lambda1) 2)) 2) (* (* (* (cos phi1) (cos lambda1)) (sin (/ (- phi2 lambda2) 2))) (sin (/ (- phi2 lambda2) 2)))))))))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- lambda2 phi2) 2)) 2) (* (* (* (cos lambda2) (cos phi2)) (sin (/ (- lambda1 phi1) 2))) (sin (/ (- lambda1 phi1) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- lambda2 phi2) 2)) 2) (* (* (* (cos lambda2) (cos phi2)) (sin (/ (- lambda1 phi1) 2))) (sin (/ (- lambda1 phi1) 2)))))))))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 lambda2) 2)) 2) (* (* (* (cos phi1) (cos lambda2)) (sin (/ (- lambda1 phi2) 2))) (sin (/ (- lambda1 phi2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 lambda2) 2)) 2) (* (* (* (cos phi1) (cos lambda2)) (sin (/ (- lambda1 phi2) 2))) (sin (/ (- lambda1 phi2) 2)))))))))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi2 phi1) 2)) 2) (* (* (* (cos phi2) (cos phi1)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi2 phi1) 2)) 2) (* (* (* (cos phi2) (cos phi1)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))

Outputs
(* 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)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))))) (sqrt (+ 1 (- (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda2 lambda1) 2)))) (pow (sin (/ (- phi1 phi2) -2)) 2))))) (* R 2))
(* (neg 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)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))))) (sqrt (+ 1 (- (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda2 lambda1) 2)))) (pow (sin (/ (- phi1 phi2) -2)) 2))))) (* R -2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- (neg lambda1) lambda2) 2))) (sin (/ (- (neg lambda1) lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- (neg lambda1) lambda2) 2))) (sin (/ (- (neg lambda1) lambda2) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (sin (* (+ lambda1 lambda2) -1/2)) (* (* (cos phi1) (cos phi2)) (sin (* (+ lambda1 lambda2) -1/2)))))) (sqrt (+ 1 (- (* (sin (* (+ lambda1 lambda2) -1/2)) (* (* (cos phi1) (cos phi2)) (sin (/ (+ lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) (* R 2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 (neg lambda2)) 2))) (sin (/ (- lambda1 (neg lambda2)) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 (neg lambda2)) 2))) (sin (/ (- lambda1 (neg lambda2)) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (sin (* (+ lambda1 lambda2) -1/2)) (* (* (cos phi1) (cos phi2)) (sin (* (+ lambda1 lambda2) -1/2)))))) (sqrt (+ 1 (- (* (sin (* (+ lambda1 lambda2) -1/2)) (* (* (cos phi1) (cos phi2)) (sin (/ (+ lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) (* R 2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- (neg phi1) phi2) 2)) 2) (* (* (* (cos (neg phi1)) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- (neg phi1) phi2) 2)) 2) (* (* (* (cos (neg phi1)) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))
(* (atan2 (sqrt (+ (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (* (+ phi1 phi2) -1/2)) 2))) (sqrt (+ 1 (- (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda2 lambda1) 2)))) (pow (sin (* (+ phi1 phi2) -1/2)) 2))))) (* R 2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 (neg phi2)) 2)) 2) (* (* (* (cos phi1) (cos (neg phi2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 (neg phi2)) 2)) 2) (* (* (* (cos phi1) (cos (neg phi2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))
(* (atan2 (sqrt (+ (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (* (+ phi1 phi2) -1/2)) 2))) (sqrt (+ 1 (- (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda2 lambda1) 2)))) (pow (sin (* (+ phi1 phi2) -1/2)) 2))))) (* R 2))
(neg (* (neg 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))))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))))) (sqrt (+ 1 (- (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda2 lambda1) 2)))) (pow (sin (/ (- phi1 phi2) -2)) 2))))) (* R 2))
(neg (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- (neg lambda1) lambda2) 2))) (sin (/ (- (neg lambda1) lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- (neg lambda1) lambda2) 2))) (sin (/ (- (neg lambda1) lambda2) 2))))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (sin (* (+ lambda1 lambda2) -1/2)) (* (* (cos phi1) (cos phi2)) (sin (* (+ lambda1 lambda2) -1/2)))))) (sqrt (+ 1 (- (* (sin (* (+ lambda1 lambda2) -1/2)) (* (* (cos phi1) (cos phi2)) (sin (/ (+ lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) (* R -2))
(neg (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 (neg lambda2)) 2))) (sin (/ (- lambda1 (neg lambda2)) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 (neg lambda2)) 2))) (sin (/ (- lambda1 (neg lambda2)) 2))))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (sin (* (+ lambda1 lambda2) -1/2)) (* (* (cos phi1) (cos phi2)) (sin (* (+ lambda1 lambda2) -1/2)))))) (sqrt (+ 1 (- (* (sin (* (+ lambda1 lambda2) -1/2)) (* (* (cos phi1) (cos phi2)) (sin (/ (+ lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) (* R -2))
(neg (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- (neg phi1) phi2) 2)) 2) (* (* (* (cos (neg phi1)) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- (neg phi1) phi2) 2)) 2) (* (* (* (cos (neg phi1)) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))))
(* (atan2 (sqrt (+ (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (* (+ phi1 phi2) -1/2)) 2))) (sqrt (+ 1 (- (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda2 lambda1) 2)))) (pow (sin (* (+ phi1 phi2) -1/2)) 2))))) (* R -2))
(neg (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 (neg phi2)) 2)) 2) (* (* (* (cos phi1) (cos (neg phi2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 (neg phi2)) 2)) 2) (* (* (* (cos phi1) (cos (neg phi2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))))
(* (atan2 (sqrt (+ (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (* (+ phi1 phi2) -1/2)) 2))) (sqrt (+ 1 (- (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda2 lambda1) 2)))) (pow (sin (* (+ phi1 phi2) -1/2)) 2))))) (* R -2))
(* lambda1 (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- R lambda2) 2))) (sin (/ (- R lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- R lambda2) 2))) (sin (/ (- R lambda2) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (sin (/ (- R lambda2) 2)) (* (* (cos phi1) (cos phi2)) (sin (/ (- R lambda2) 2)))))) (sqrt (- (- 1 (pow (sin (/ (- phi1 phi2) 2)) 2)) (* (sin (/ (- R lambda2) 2)) (* (* (cos phi1) (cos phi2)) (sin (/ (- R lambda2) 2))))))) (* 2 lambda1))
(* lambda2 (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 R) 2))) (sin (/ (- lambda1 R) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 R) 2))) (sin (/ (- lambda1 R) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 R) 2)) (sin (/ (- lambda1 R) 2)))))) (sqrt (- (- 1 (pow (sin (/ (- phi1 phi2) 2)) 2)) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 R) 2)) (sin (/ (- lambda1 R) 2))))))) (* 2 lambda2))
(* phi1 (* 2 (atan2 (sqrt (+ (pow (sin (/ (- R phi2) 2)) 2) (* (* (* (cos R) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- R phi2) 2)) 2) (* (* (* (cos R) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- R phi2) 2)) 2) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi2) (* (sin (/ (- lambda1 lambda2) 2)) (cos R)))))) (sqrt (+ (- 1 (pow (sin (/ (- R phi2) 2)) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi2) (* (cos R) (sin (/ (- lambda2 lambda1) 2)))))))) (* 2 phi1))
(* phi2 (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 R) 2)) 2) (* (* (* (cos phi1) (cos R)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 R) 2)) 2) (* (* (* (cos phi1) (cos R)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 R) 2)) 2) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (* (sin (/ (- lambda1 lambda2) 2)) (cos R)))))) (sqrt (+ 1 (- (* (* (cos phi1) (cos R)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda2 lambda1) 2)))) (pow (sin (/ (- phi1 R) 2)) 2))))) (* 2 phi2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda2 lambda1) 2))) (sin (/ (- lambda2 lambda1) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda2 lambda1) 2))) (sin (/ (- lambda2 lambda1) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (cos phi2) (sin (/ (- lambda2 lambda1) 2))) (* (cos phi1) (sin (/ (- lambda2 lambda1) 2)))))) (sqrt (- (- 1 (* (* (cos phi2) (sin (/ (- lambda2 lambda1) 2))) (* (cos phi1) (sin (/ (- lambda2 lambda1) 2))))) (pow (sin (/ (- phi1 phi2) 2)) 2)))) (* R 2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- lambda1 phi2) 2)) 2) (* (* (* (cos lambda1) (cos phi2)) (sin (/ (- phi1 lambda2) 2))) (sin (/ (- phi1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- lambda1 phi2) 2)) 2) (* (* (* (cos lambda1) (cos phi2)) (sin (/ (- phi1 lambda2) 2))) (sin (/ (- phi1 lambda2) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- lambda1 phi2) 2)) 2) (* (* (cos phi2) (cos lambda1)) (pow (sin (/ (- phi1 lambda2) 2)) 2)))) (sqrt (- (- 1 (pow (sin (/ (- lambda1 phi2) 2)) 2)) (* (* (cos phi2) (cos lambda1)) (pow (sin (/ (- phi1 lambda2) 2)) 2))))) (* R 2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 lambda1) 2)) 2) (* (* (* (cos phi1) (cos lambda1)) (sin (/ (- phi2 lambda2) 2))) (sin (/ (- phi2 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 lambda1) 2)) 2) (* (* (* (cos phi1) (cos lambda1)) (sin (/ (- phi2 lambda2) 2))) (sin (/ (- phi2 lambda2) 2)))))))))
(* (atan2 (sqrt (- (pow (sin (/ (- phi1 lambda1) 2)) 2) (* (cos phi1) (* (cos lambda1) (neg (pow (sin (/ (- phi2 lambda2) -2)) 2)))))) (sqrt (+ (- 1 (pow (sin (/ (- phi1 lambda1) 2)) 2)) (* (cos phi1) (* (cos lambda1) (neg (pow (sin (/ (- phi2 lambda2) -2)) 2))))))) (* R 2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- lambda2 phi2) 2)) 2) (* (* (* (cos lambda2) (cos phi2)) (sin (/ (- lambda1 phi1) 2))) (sin (/ (- lambda1 phi1) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- lambda2 phi2) 2)) 2) (* (* (* (cos lambda2) (cos phi2)) (sin (/ (- lambda1 phi1) 2))) (sin (/ (- lambda1 phi1) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi2 lambda2) -2)) 2) (* (sin (/ (- lambda1 phi1) 2)) (* (cos phi2) (* (cos lambda2) (sin (/ (- lambda1 phi1) 2))))))) (sqrt (- 1 (+ (pow (sin (/ (- phi2 lambda2) -2)) 2) (* (sin (/ (- lambda1 phi1) 2)) (* (cos phi2) (* (cos lambda2) (sin (/ (- lambda1 phi1) 2))))))))) (* R 2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 lambda2) 2)) 2) (* (* (* (cos phi1) (cos lambda2)) (sin (/ (- lambda1 phi2) 2))) (sin (/ (- lambda1 phi2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 lambda2) 2)) 2) (* (* (* (cos phi1) (cos lambda2)) (sin (/ (- lambda1 phi2) 2))) (sin (/ (- lambda1 phi2) 2)))))))))
(* (atan2 (sqrt (+ (pow (sin (/ (- phi1 lambda2) 2)) 2) (* (pow (sin (/ (- lambda1 phi2) 2)) 2) (* (cos phi1) (cos lambda2))))) (sqrt (- (- 1 (pow (sin (/ (- phi1 lambda2) 2)) 2)) (* (pow (sin (/ (- lambda1 phi2) 2)) 2) (* (cos phi1) (cos lambda2)))))) (* R 2))
(* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi2 phi1) 2)) 2) (* (* (* (cos phi2) (cos phi1)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi2 phi1) 2)) 2) (* (* (* (cos phi2) (cos phi1)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))))
(* (atan2 (sqrt (+ (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) -2)) 2))) (sqrt (+ 1 (- (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda2 lambda1) 2)))) (pow (sin (/ (- phi1 phi2) -2)) 2))))) (* R 2))

Symmetry

(negabs R)

explain1.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 392 to 28 computations (92.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.1s (10.5%)

sample8.9s (84.2%)

preprocess557.0ms (5.3%)

explain1.0ms (0%)

end0.0ms (0%)

Profiling