Metrics for Distance on a great circle

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze807.0ms (11.7%)

Memory

245.5MiB live, 245.5MiB 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)

sample210.0ms (3%)

Memory

37.3MiB live, 37.3MiB allocated

Samples

184.0ms	232×	1	valid
5.0ms	28×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-cos: 58.0ms (33.2% of total)

ival-sin: 52.0ms (29.7% of total)

ival-mult: 17.0ms (9.7% of total)

adjust: 11.0ms (6.3% of total)

ival-sub: 8.0ms (4.6% of total)

ival-sqrt: 7.0ms (4% of total)

ival-div: 7.0ms (4% of total)

ival-pow2: 6.0ms (3.4% of total)

ival-atan2: 6.0ms (3.4% of total)

ival-add: 2.0ms (1.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

Bogosity

explain5.6s (80.2%)

Memory

2 301.3MiB live, 2 301.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
82	116	(-1.3487337169289216e+166 5.742227908398197e-31 8.496614083528458e+204 -1.2721193781495218e-101 1.9689341136347636e+34)	0	-	`(sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))`
71	117	(-1.3487337169289216e+166 5.742227908398197e-31 8.496614083528458e+204 -1.2721193781495218e-101 1.9689341136347636e+34)	0	-	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))`
9	0	-	2	(-1.3399535355030784e-73 2.1856516417779573e+275 4.600004965978298e+254 -1.4352447304123834e+261 3.5168329341188533e+167)	`(-.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))))))`
1	0	-	1	(-1.5550665791478977e-292 1.4147881536367542e-64 46473134280258240.0 2.317722889034898e+26 8.220913819176366e-251)	`(+.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)))))`
1	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 (.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	-	`(*.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	-	`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 phi1 phi2) #s(literal 2 binary64)))`	sensitivity	198	0
`sin.f64`	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))`	sensitivity	188	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	7	8
`sqrt.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))))))`	uflow-rescue	1	0
↳	`(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64))`	underflow	12
↳	`(.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))))`	underflow	17
↳	`(+.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)))))`	underflow	1

Confusion

	Predicted +	Predicted -
+	131	0
-	111	14

Precision

0.5413223140495868

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	111	0	14

Precision?

0.5413223140495868

Recall?

1.0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	14
1	90
2	152

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

23.653564453125

Average Time

0.09239673614501953

Samples

2.3s	2 748×	1	valid
70.0ms	324×	0	valid

Compiler

Compiled 14 844 to 1 272 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-cos: 679.0ms (32.9% of total)

ival-sin: 614.0ms (29.7% of total)

ival-mult: 206.0ms (10% of total)

adjust: 133.0ms (6.4% of total)

ival-sub: 97.0ms (4.7% of total)

ival-sqrt: 81.0ms (3.9% of total)

ival-div: 78.0ms (3.8% of total)

ival-atan2: 72.0ms (3.5% of total)

ival-pow2: 68.0ms (3.3% of total)

ival-add: 28.0ms (1.4% of total)

exact: 5.0ms (0.2% of total)

ival-true: 3.0ms (0.1% of total)

ival-assert: 2.0ms (0.1% of total)

preprocess313.0ms (4.5%)

Memory

43.1MiB live, 43.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1311
1	544	1304
2	1353	1304
3	3532	1280
4	6186	1272
0	26	65
0	45	65
1	74	65
2	132	65
3	273	65
4	523	65
5	873	65
6	1345	65
7	1637	65
8	2167	65
9	2949	65
10	4120	65
11	4386	65
12	4527	65
13	4587	65
14	4611	65
15	4780	65
16	5221	65
17	5310	65
18	5310	65
19	5318	65
20	6371	65
0	8561	63

Stop Event

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

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))))))))))

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))))))))))

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

Outputs

(*.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))))))))))

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

Symmetry

(negabs R)

Compiler

Compiled 65 to 26 computations (60% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.8%	(.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

59.8%

(*.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))))))))))

Compiler

Compiled 130 to 52 computations (60% saved)

simplify30.0ms (0.4%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	65
1	41	65
2	55	65
3	73	65
4	89	65
5	103	65
6	111	65
7	116	65
8	118	65

Stop Event

1×

saturated

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))))))))))

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))))))))))

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

Outputs

(*.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))))))))))

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

soundness1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 65 to 26 computations (60% saved)

preprocess7.0ms (0.1%)

Memory: 2.8MiB live, 2.8MiB allocated
Remove: (negabs R)
Compiler: Compiled 520 to 208 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze807.0ms (11.7%)

sample210.0ms (3%)

explain5.6s (80.2%)

preprocess313.0ms (4.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.4%)

soundness1.0ms (0%)

preprocess7.0ms (0.1%)

end0.0ms (0%)

Profiling